Write an equation in slope-intercept form of the line that passes through the given points. 0,4 4,2

Answers

Answer 1

First, find the slope: m = Δy/Δx = (2-4)/(4-0) = -0.5

The "intercept" in the slope-intercept form of a line is the y-intercept. And at the y-intercept, x = 0. Conveniently, one of our points has an x = 0, i.e., the point (0,4). So, our equation would be y = -0.5x + 4.

If you wanted to double-check, you could use the point (4,2) to find the point-slope equation of the line and see if it matches up with the slope-intercept form above. Given a slope of -0.5 and a point (4,2), our point-slope equation would be y - 2 = -0.5(x - 4). If we expand this, we get y - 2 = -0.5x + 2. Solving for y, we obtain y = -0.5x + 4.

Thus, y = -0.5x + 4 would be our equation.


Related Questions

Solve the following problem:

5x - 3 = 4x + 3

A. x = 5

B. x = 6

C. x = 7

Answers

Answer:

x=6

Step-by-step explanation:

Step 1: Subtract 4x from both sides.

5x−3−4x=4x+3−4x

x−3=3

Step 2: Add 3 to both sides.

x−3+3=3+3

x=6

Answer:

B.

Step-by-step explanation:

5x-3+3=4x+3+3

5x=4x+6

5x-4x=4x+6-4x

x=6

Find the exact value of inverse cos (square root of 3/ 2.

Answers

Answer:

that I have attached my application for you to have a couple months but I'm thinking it's all threads a small for more about an automatically ke you don't you to join our next few different to see a look great and you want them so it in for her the

Answer:

30° is the exact value of cos invers

PLEASE MARK ME AS BRAINLIEST

y=5x+1 graph the equation

Answers

This is how you would graph y=5x+1

Just choose values for x like (-2,-1,0,1,2) then replace it in the equation. Ex. For -2 it would be y=5(-2)+1
Y=-9
So the point would be x=-2 and y=-9

Find the unknown length x in the right triangle, to the nearest tenth .

Answers

Answer:

x = 11.7

Step-by-step explanation:

sin of an angle is opposite/hypotenuse

sin 38 = x/19

x = 19 sin 38

x = 11.7

You need to memorize the definitions of all the trig functions and then this type of problem will be easy for you.

Write 0.4% as a fraction or mixed number in simplest form.

Answers

Answer:

4/1000

Step-by-step explanation:

A snail travels at an average speed of 0.1 feet per hour for 15 minutes. How many feet will the snail travel?

Answers

Answer:

1.5 Feet

Step-by-step explanation:

15 x .1 = 1.5

What is the area of the figure below?

Answers

Answer:

104

Explanation:

1. Split the figure by the line the larger portion creates.

2. Calculate the area of the left-hand side... 7 · 8 = 56cm squared.

3. You know that the total length of the figure is 15cm. You've already "used" 7cm of that. So... 15 - 7 = 8.

4. Now, we simply do 6 · 8 = 48. Almost there!

5. Finally, add the values of the left side and the right side (48 + 56 = 104)

6. YOUR ANSWER IS 104 cm squared.

this killing me pls help ‍♀️

Answers

-6p - 3 = 9, Solve for p

Add 3 to both sides.

-6p = 12

Divide -6 by both sides.

p = -2

An Xbox has a retail price of $350. Best Buy is offering a 15% discount on the system. How much will the Xbox cost after the discount?

Answers

Answer:

About  297.50$

becuase since i actually have an xbox with that same discount i know the answer

Answer:

you will pay 297.50$

you are saving 52.50$

Describe in your own words how the picture above shows 3(2 + x)

Answers

Answer:

6 + 3x

Step-by-step explanation:

3 * 2 and 3 *x

= 6 + 3x

you can not break that down any farther so it stays at "6 + 3x".

Hope this helps!

Answer:

3(2 + x) = 0

6 + 3x = 0

3x = -6

x = -6/3

x = -2

Hope this help. Do vote me for this. Thanks.


20 POINTS
Translations
7
Acellus
Find the image of the given point
under the given translation.
Help Resources
P(3,-5) T(x, y) = (x +4, y-3)
P' = ([?], []).
Enter the number that belongs in
the green box.
Enter

Answers

Answer:

The number that belongs in the green P' = ([?], [ ]) with P' = (7, -8) box is;

7

Step-by-step explanation:

The coordinate of the given point 'P' is P = (3, -5)

The preimage of (x, y) after the translation, [tex]T_{(x, \ y)}[/tex] = (x-coordinate + 4, y-coordinate - 3)

Therefore, the translation, [tex]T_{(x, \ y)}[/tex] = T₍₄, ₋₃₎

Therefore, we have;

Preimage P(3, -5) under the translation T₍₄, ₋₃₎ gives the image P' as follows

P(3, -5) [tex]\overset{T_{\left ( 4, \, -3 \right )}}{\rightarrow}[/tex]P'(3 + 4, -5 - 3) = P'(7, -8)

Therefore, the number that belongs in the green box is the x-coordinate value of the point P'(7, -8) which is seven.

What is the annual rate of inflation (percent of inflation) of a gallon of milk costing $2.25 last year and $2.70 this year

Answers

Answer:

20%

Step-by-step explanation:

8x=2 what is the value ofx

Answers

Answer:

0.25

Step-by-step explanation:

8x=2

[tex] = > x = \frac{2}{8} [/tex]

[tex] = > x = \frac{1}{4} or \: 0.25(ans)[/tex]

Step-by-step explanation:

8x=2

= > x = \frac{2}{8} =>x=

8

2

= > x = \frac{1}{4} or \: 0.25(ans)=>x=

4

1

or0.25(ans)

8th grade math!!
please helppp

Answers

Noticed how it forms a supplementary angle.

A supplmentary angle is basically two angles that added up to 180 degrees.

So we have:

64 + x = 180

Then we solve for "x", so "x" = 116.

Hope that makes sense :)

The answer is 116.

180-64=116

Hope this helps! Have a good day!

The perimeter of the triangular park shown on the right is 11x - 7. What is the missing length?

Answers

Answer:

6x-4

Step-by-step explanation:

the perimeter is the distance around the shape, we get this by adding all the sides, call the missing side y and set up an equation for the perimeter

11x-7 = 4x+2 + x-5 + y

solve for y

11x-7 = 5x -3 + y

11x-4 = 5x + y

6x-4 = y

can you put this into one sentence The Soviet team dominated the second period. The Americans scored twice in the last period. The Americans finally took the lead.

Also put two of these words in it Although or so unless.

40 points

Answers

the americans scored twice in the last period although the soviet team dominated second period, after that the americans finally took the lead

(this is english not math change your question when you have to do this again)

what is the "input" of a function ​

Answers

the input values that would produce that output value, we set the output equal to the function's formula and solve for the input.

What's the largest 6-digit multiple of 5 that has all different digits? I'll give Brainliest to anyone who helps.

Answers

Answer:

987650

Step-by-step explanation:

The largest 6-digit number is:

999999

We need all digits different and the last one 0 or 5 because the number is the multiple of 5.

9876 are the first 4 digits and the last two 50 or 45, we'll chose 50 as 45 is smaller.

So the number is:

987650

Answer:

987650 hag1 !!!

write 5/6 as a decimal

Answers

Answer:

0.83333333

Step-by-step explanation:

Is that what you wanted?

look it upppppppp B))

At your first job you make $1200 a month of that you save $200 a month. Your goal is to save 20% did you reach your goal?

Answers

Answer:

No, you didn't

Step-by-step explanation:

20% of $1200 is:

0.2*$1200 = $240

Since you saved $200 and its less than $240 you didn't reach your goal

Hi there!

No:

200 is only 6 parts of 1200 together which means that it can’t be 20% of 1200.

If it was 20% of 1200, it would then be 240 since 240·5=1200...

What this means:

No, did not reach the goal since 20% of 1,200 is 240 and 200 is only 16.67% of $1,200.

Bruno is a manager at a factory that makes in-line skates. The equation 200x - y + 500 = 0 relates y, the number of pairs of skates the factory has in the warehouse and x, the number of hours after bruno starts his shift. Show that the equation is a linear equation by writing it in a slope-intercept form. Show your work

Answers

Answer:

Slope- intercept form       y = 200 x + 500

Step-by-step explanation:

Explanation:-

Given that the equation

        200x - y + 500 = 0

where   y, the number of pairs of skates the factory has in the warehouse, and x be the number of hours

The slope-intercept form

                 y = m x +C

Given equation  200x - y + 500 = 0

                           200 x + 500 =y

                        y = 200 x + 500

Slope of the equation m = 200 and y-intercept 'C' = 500

Braxton has money in a savings account. The equation B = 800(1 + 0.03) can be used to calculate the amount

of money in dollars, B. Braxton has in his account after t years since opening the account.

Pam also has money in a savings account. The equation P=800(1 +0.04) can be used to calculate the

amount of money in dollars, P, Pam has in her account after t years since opening the account.

Choose from the drop down menus to correctly complete each sentence.

Braxton's initial investment Choose...

• Pam's initial investment.

The interest on Braxton's account Choose...

• the interest on Pam's account.

Answers

Answer:

Braxton's initial investment is equals to (=) Pam's initial investment.

The interest on Braxton's account is less than (< ) the interest on Pam's account.

Step-by-step explanation:

Given - Braxton has money in a savings account. The equation

            B = [tex]800(1 + 0.03)^{t}[/tex] can be used to calculate the amount of money    

           in dollars, B, Braxton has in his account after t years since opening

           the account.

           Pam also has money in a savings account. The equation

           P=[tex]800(1 + 0.04)^{t}[/tex]  can be used to calculate the  amount of money in

           dollars, P, Pam has in her account after t years since opening the

           account.

To find - Braxton's initial investment ..........Pam's initial investment.

             The interest on Braxton's account .....the interest on Pam's account.

Proof -

As given, Broxton equation is - [tex]800(1 + 0.03)^{t}[/tex]

               Pam equation is - [tex]800(1 + 0.04)^{t}[/tex]  

Now,

1.)

For initial investment , Put t = 0

⇒B = [tex]800(1 + 0.03)^{0} = 800(1) = 800[/tex]

  P =  [tex]800(1 + 0.04)^{0} = 800(1) = 800[/tex]

As for t = 0

Braxton's equation , B = Pam's equation,P

Braxton's Initial investment = Pam's initial investment.

2.)

For the interest,

As we don not have time for which the interest has to be check.

So , let the time period = 5 years

Therefore,

B = [tex]800(1 + 0.03)^{5} = 800(1.03)^{5} = 800(1.1593) = 927.42[/tex]

P =  [tex]800(1 + 0.04)^{5} = 800(1.04)^{5} = 800(1.2166) = 973.32[/tex]

Now,

Interest on Braxton's account = 927.42 - 800 = 127.42 ≈ 127

Interest on Pam's account = 973.32 - 800 = 173.32 ≈ 173

∴ we get

The interest on Braxton's account is less than the interest on Pam's account.

PLEASE HELP DONT ANSWER IF YOU DO NOT KNOW (the numbers got cut out)

Answers

look at the picture i attached for the answer :))

What is the missing term?
-4.-12.x
12.-4 .
2x
?
2.2

+1

Answers

Answer:

Step-by-step explanation:

The question is not displaying correctly.

4x·3x = 12x²

Lisa goes out to eat with her family and spends 42.50. she gives the waiter 15% tip .how much money does she spend in total ?

Answers

Answer:

Step-by-step explanation:

1.15×$42.50 = $48.875 ≅ $48.88

Answer:

$48.88

Step-by-step explanation:

42.50 increase 15% =

42.50 × (1 + 15%) = 42.50 × (1 + 0.15) = 48.875

2) Find the area. *
7 points
12 cm
2 cm
4 cm
6 cm
24
O 12
36
48

Answers

Answer:

36cm

first we extend one of the half lines.

now we have 2 rectangles with sides

6cm and 4cm and 2cm and 6cm

using area of rect formula we find the area of both the rects separately and then add them

wasssssupppppppppppppp

Answers

Wassssssaaaaaaaaaaaaaaa

Answer:

Wasssupppp yallll

which equation would be the easiest to solve first by using the substitution method? EXPLAIN WHY

equation 1: 3x+5y= -8
equation 2: x- 2y=1

Answers

Answer:

Equation 2: x - 2y = 1

Step-by-step explanation:

The equations easiest to use substitution are the ones that have the variable multiplied by one, as in the case of Eq. 2 where x is 1x, so if you substitute a zero for x, we know that y has to be -1/2 for the equation to be true.  Furthermore, if you substitute a 0 for y you automatically know that x = 1.

If you try to substitute anything for x in equation 1, let's say x = 1, you still have to multipy by 3, then the rest of the problem would be more steps.

There are 90 penguins in a zoo. There are two types - Humboldt and Emperor.
52 are female, of these 6 are Emperor penguins.
There are 5 male Emperor penguins.
Use this information to complete the frequency tree.
PLEASE ANSWER I WILL GIVE BRAINLIEST!!!

Answers

Answer:

still need it?..........

what is 50 - 30%= i forget how to do it :C

Answers

Answer:

just do 50 times 0.3 your answer should be 15. subtract 15 from 50 and you'll have your answer 35.

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