Find the slope of the line that passes through (4,2) and (9,1)?

Answers

Answer 1

Answer: m= -1/5

Step-by-step explanation:

Find the Slope (4, 2) and (9, 1)

Slope is equal to the change in y over the change in x, or rise over run.

              change in y

     m =    _________

              change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).        y₂ − y₁

     m =   _____

              x₂ − x₁

Substitute in the values of x and y into the equation to find the slope.

              1 − (2)

     m =   _____

              9 − (4)

Simplify the numerator.

                −1

     m =   _____

              9 − (4)

Simplify the denominator.

                −1

     m =   _____

                 5

Move the negative in front of the fraction.

                −1

     m =   _____

               − 5

Answer 2

Answer:

The slope of the line is [tex]\displaystyle -\frac{1}{5}[/tex].

Step-by-step explanation:

We are given two coordinate points:

[tex](4, 2)[/tex][tex](9, 1)[/tex]

We are asked to find the slope of the line.

We can use the rise-over-run formula to solve for the slope of the line.

[tex]\displaystyle \text{slope} = \frac{\text{rise}}{\text{run}}\\\\\text{slope} = \frac{y_2-y_1}{x_2-x_1}[/tex]

However, we firstly need to name our coordinate points.

In math, we can label our coordinates using the following label system:

[tex](x_1, y_1), (x_2, y_2)[/tex]

Therefore, we can also label our coordinates as such:

[tex]x_1 = 4[/tex][tex]y_1 = 2[/tex][tex]x_2 = 9[/tex][tex]y_2 = 1[/tex]

Now, we can supply these values into the formula and solve for our slope, or a better known variable, m.

[tex]\displaystyle m = \frac{1 - 2}{9 - 4}\\\\m = \frac{-1}{5}\\\\m = -\frac{1}{5}[/tex]

Therefore, our slope is [tex]\displaystyle -\frac{1}{5}[/tex].


Related Questions

A real estate agent earns a 2% commission on each home that he sells. What is his commission if he sells a home worth $1,000,000?

Answers

Commission=2% of sales made

=2/100*$1,000,000
=$20,000

0.26÷1.56 ...........................................................................................

Answers

Answer:the answer is 0.16 in the calculator its 0.166666666667 but just take the first 3 numbers at thats your answer.

Step-by-step explanation:

Write the equation of the line that passes through the points (0, -3) and (-4,1).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Step-by-step explanation:

I'm going to explain this in standard slope intercept form (y=mx+b) because it is easiest for this situation. I will also include converting it to point slope form. I will also show how to do straight into point slope form if you find that more helpful.

First thing is to identify difference in x and y in both points. From point 1 to point to, the x changes -4 and the y changes +4. We can rapresent this in rise over run fraction

[tex] \frac{4}{ - 4} = - 1[/tex]

So the slope is -1 because the slope is the simplified rise over run fraction.

Our next step is to find the y-intercept. This is easy because the first point is the y-intercept, so -3 is our y-intercept.

Now we know the equation.

[tex]y = - x - 3[/tex]

All we have to do now is convert it into point-slope form. So here is point slope form: y + y1 = m(x + x1). Y1 is the y-intercept and m is the slope.

[tex]y - 3 = - 1(x + x1)[/tex]

So x1 is the x intercept, so to find this you find the x value when y is 0. You can do this by using the standard form I've done because it is easiest.

[tex]0 = - x - 3 \\ x = - 3[/tex]

So when y is 0, then x is -3. Here is the complete point slope form of the line.

[tex]y - 3 = - 1(x - 3)[/tex]

-----------------------------------------------------

To put the line directly into point slope for you need to find the slope, y-intercept, and x-intercept and place the values in accordingly. If you aren't given the y-intercept and x-intercept straight away it can be difficult for some putting it directly in point slope form. That is why I recommend putting it into standard form then point-slope form.

Answer:

y=-1x-3

Step-by-step explanation:

First, you have to find the slope using the formula I attached. Using this formula, you will subtract the second y from the first y, which is 1-(-3) for this problem. That equals 4, so that will be the numerator of the slope. Next, you have to subtract the second x from the first x, which is -4-0 for this problem. That equals -4, so that will be the denominator for this slope. the fraction now is [tex]\frac{4}{-4}[/tex], which is -1. The slope is -1. The current equation looks like this: y=-1x+b. Now we can solve for b, or the y-intercept. To do this, you have to use the x and y of one of the coordinates, it doesn't matter which one, the answer will be the same. Use the first one, for example. The x is 0 and the y is -3, so the our equation to find b is -3=-1(0)+b, which is -3=0+b, which is -3=b, or b=-3. So now we know what b is. Now we have to two components we need to write the equation, the slope (-1) and the y-intercept (-3). Now we can write the equation. y=-1x+(-3), or y=-1x-3.

If a class of 30 students have to split the boys and girls in hafe and 10% are girls, how meany girls are in the class

Answers

Answer:

10 girls

Step-by-step explanation:

what is 9 divided by 3 plus for times 6 plus 8

Answers

Answer: 50

Step-by-step explanation: 9 divided by 3 plus 4 times 6 plus 8 equals 50

Answer:

35

Step-by-step explanation:

9 ÷ 3 + 4 · 6 + 8

Do 9 ÷ 3 first

3

Plug this value back into the equation

3 + 4 · 6 + 8

Do 4 · 6 next

24

Plug this value back into the equation

3 + 24 + 8

Add 3 to 24

27

Plug this value back into the equation

27 + 8

Add

35

Hope this helps :)

Please consider Brainliest :)

Andrea earned 200 points on a school assignment. Because the
assignment was turned in late, the score was reduced to 20 points.
What was the percentage decrease in the score?
Symbol requiere

Answers

Answer:

It was approximately a 9% decrease. (If you need to round to the nearest tenth, 9.1. If you need to round to the nearest hundredth, 9.10).

Step-by-step explanation:

I am going to assume that the question means that Andrea could have earned 220 points on the assignment, but instead because the assignment was late, she was marked down 20 points. (Reduced to 20 points is kind of awkward wording).

Given that, 20 divided by 220 comes out to 0.0909 repeating.

0.09, as a percentage, is 9%. (Again, 0.0909, 9.09%, could be rounded up to 9.1%).

Hope this helps!

Timmy the Elephant received an 87.5% on his math test. How many questions were on the test if he got 35 questions right?

Answers

Answer:

40

Step-by-step explanation:

35/40 in percentage is 87.5%

Olivia filled 6 baskets of strawberries. Later she combined the fruit evenly into 3 larger boxes. if all 3 boxes sold for $42, how much money did each box of strawberries cost?

Answers

Answer:

21

Step-by-step explanation:

becuase that's the answer lol

can someone help me with this?

Answers

R: -4,-3
S: -3,1
T: 1,-2
U: stays the same
((:

Evaluate the expression

negative 14 plus 5

Answers

Answer:

its -9 :)

dmdmonjdnkjdnb

Answer:

-9

Step-by-step explanation:

-14+5 = -9

In equations like this, look at the signs of the numbers and that will tell you what to do. Remember it like this:

"Same signs add and keep. Different signs subtract. Keep the sign of the higher number then you'll be exact"

1) Arnold has $200 in his bank account. His bank
account earns interest at a rate of 2% each year.
After 15 years, how much money will Arnold have
in his bank account (assuming no withdrawals or
deposits)?

Answers

Answer:

P is the principal amount, $200.00.

r is the interest rate, 2% per year, or in decimal form, 2/100=0.02.

t is the time involved, 15....year(s) time periods.

So, t is 15....year time periods.

To find the simple interest, we multiply 200 × 0.02 × 15 to get that:

The interest is: $60.00

I need to know what are the coordinates of point n and a explanation

Answers

Answer:

it is A

Step-by-step explanation:

you line up the numbers and the horizonal line first

A cube with a volume of 75 cm is dilated bya factor of 5.
What is the volume of the dilated cube?
Enter yOur answer in the box
cm

Answers

Answer:

The volume of the dilated cube is 9375cm³. The volume of the original cube is 75 cm³. The scale factor for the dilation is 5. We multiply the volume of the original cube by 125 to obtain the volume of the dilated cube.

Step-by-step explanation: If thats

not right, then i am sorry, i am just getting started

what is 29503.488rounded two decimal places​

Answers

Answer:29503.49

Step-by-step explanation:

Answer:

29503.49

Step-by-step explanation:

since the number in the thousandths place is greater than four, you round the number in the hundredths place up to the number that would come after that. In this case, 8 rounds up to 9

La suma de DOS números pares es 100. ¿Cuáles son esos números?
The sum of TWO even numbers is 100. What are those numbers?

Answers

There could be multiple possibilities including
80+20=100
60+40=100
50+50=100

2x-3y = 2y - x then find the value of ×:y

Answers

Answer:3x

Step-by-step explanation:

If 2x+y=2y−x, then the value of y in terms of x can be

3x

this is a trigonometry question . ​

Answers

Answer:

AB ≈ 5.6 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos62° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{12}[/tex] ( multiply both sides by 12 )

12 × cos62° = AB , thus

AB ≈ 5.6 cm ( to 1 dec. place )

can i have some help

Answers

Infinite Solutions :) Dhdhsjsjdnnd

Answer:

one solution

Step-by-step explanation:

once you solve it, x equals 0

When a 40-foot pole casts a shadow of
30 feet, how tall is a nearby tree that
casts a shadow of 15 feet?

Answers

Set up a ratio with height over shadow height:

40/30 = x/15

Cross multiply:

40 x 15 = 30x

600 = 30x

Divide both sides by 30:

X = 20

The tree is 20 feet tall.

Answer:

20

Step-by-step explanation:

It tells you that a 40 foot pole casts a 30 foot then it asks you how tall is a tree if it casts a 15 foot shadow. We see that 30 is exactly 2 times 15

30 = 2 * 15

So we simply do that to 40 too.

40 / 2 = 20

So 20 is our answer.

Plsss help I’ll give u brainlest and 10 points

Answers

Answer:

b

Step-by-step explanation:

d is your inital amount.  Then you spend $7, so you subtract 7.  That is greater than or equal to 50.

3
Edwin is collecting glass beads and gold buttons. The glass beads are worth $0.50 each and the gold buttons
are worth $0.70 each. His total collection is worth $35. The number of glass beads he has is represented by g.
and the number of gold buttons he has is represented by b. The equation 0.50g +0.70b = 35 can be used to
determine how many of each item he has.
Select all of the possible bead and button combinations based on the above criteria.
g= 70, b = 0
g=52, b = 10
g= 56, b'= 10
8= 42, b = 20
g=0, b= 100
no

Answers

9514 1404 393

Answer:

  (g, b) = (70, 0), (56, 10), (42, 20)

Step-by-step explanation:

The g-intercept is 35/0.5 = 70, so (g, b) = (70, 0) is a possible combination.

The slope of the relation is such that when g goes down by 14, b goes up by 10. Other points on the line are (70 -14, 0 +10) = (56, 10) and (56 -14, 10 +10) = (42, 20).

Of those listed, the possible combinations are ...

  (g, b) = (70, 0), (56, 10), (42, 20)

In a recipe, for every 3/4 cup of flour, 1/3 cup of sugar is needed. How many cups of sugar are needed for 1 cup of flour? (Leave your answer in fraction form).

Answers

Answer:

1/9 cup of sugar for every 1/4 cup of flour

Step-by-step explanation:  Turn the 1/3 into 3/9 and I'm sure you can figure it out from there.

Another name for Rotation is slide.
True
False

Answers

False:

A rotation is the action of rotating around an axis or center.

A slide means to move along a smooth surface while maintaining continuous contact with it.

Merritt is driving to Mount Shasta. On her map, she is a distance of 7 inches away. The scale of the map is 2 inches is to 50 miles. How far must Merritt travel to reach her destination?

Answers

Answer:

7 inches on the map is 175 miles.

Step-by-step explanation:

2 inches equals 50 miles.  Use 50 divided by 2 to find the 1-inch scale which is 1:25 ( one inch to 25 miles)

There are 4 squares and 10 circles. What is the simplest ratio of squares to circles ? Pleaseeee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

2:5

Step-by-step explanation:

Simplify

How much would the painting company charge to paint a house that needs 20
hours of labor? A house that needs 50 hours?

Answers

Answer:

It depends how much they get paid which is 20 dollors

Step-by-step explanation:

SO THE ANSWER IS 20

bruh math problems really be like


"sALLY aTe 7 PenCiLs, iF sHe vOmitS 3 hOw mAnY arE LeFt?"

smh.

Answers

Answer:

Bruu for real and they don't make sense LOL

Step-by-step explanation:

Answer:

FACTS lmbooo

Step-by-step explanation:

Pls help :( wll mark branliest

Answers

Answer:

proportional

Step-by-step explanation:

same question again. ugh

Answers

Answer:

-3

Step-by-step explanation:

the slope is -3 because it goes down 3 y for every 1 forward on x

Answer:

[tex]m=-3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (1, -3)

Point (-1, 3)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{3+3}{-1-1}[/tex]Add/Subtract:               [tex]m=\frac{6}{-2}[/tex]Divide:                          [tex]m=-3[/tex]

Please help! thanks !!!!

Answers

Answer:

I believe that D is the answer.

Step-by-step explanation:

The Y and X axis goes up by 1/8, so the Y value is 5/8 and the X value is -1/4.

(For the X axis, you need to simplify.)

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