Write an equation in slope intercept form of the line that passes through (-2,10) and (1,1).

Answers

Answer 1

Answer:

(-2,10)=x1,y1

(1,1)=x2,y2

we have,

(y-y1)=(y2-y1)/(x2,x1)[(x-x1)]

(y-10)=(1-10)/(1+2)[x+2]

y-10=-9/3(x+2)

y-10=-3(x+2)

y-10=3x+6

y=3x+16

Answer 2

Answer:

        y = -3x + 4

Step-by-step explanation:

The slope of a line passing through two points: (x₂, y₂) and (x₁, y₁) is:

                                                                               [tex]\bold{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

(-2, 10)  ⇒  x₁ = -2,  y₁ = 10

(1, 1)    ⇒  x₂ = 1,  y₂ = 1

So:

      [tex]\bold{m=\dfrac{1-10}{1+2}=\dfrac{-9}{3}=-3}[/tex]

The point-slope form of equation of line is y - y₀ = m(x - x₀)

We can pick any of given poins, so:

x₀ = 1,  y₀ = 1   and  m = -3

y - 1 = -3(x - 1)

y = -3x + 3 + 1

y = -3x + 4      ←  slope intercept form of the line


Related Questions

HELP ME PLEASE FAST. Which description best compares the graphs of these two functions?

Answers

Functions A and B have the same y- intercept

Answer:

what #1 said

Step-by-step explanation:

solve the system of equations
−4x+3y=−2
y=x−1 ​

x =
y =

Answers

Answer: x = -1 and y = -2

Step-by-step explanation:

So if you know y = x-1 you can plug that in where y is in the first equation

-4x + 3(x-1) = -2

Distribute the 3:

-4x +3x -3 = -2

Combine like terms:
-x -3 = -2

Add 3 to both sides:
-x = 1

Multiply by -1:
X = -1

Then you plug that into the other equation to get y=(-1)-1

Which is -2

please help me please will give brainliest


show all your work thank you ​

Answers

Answer:

Perimeter: 52 Area: 181-16i?

Step-by-step explanation:

Perimeter

The formula for perimeter is 2l+2w, so you plug in the binomials they give you:

2(11-4i)+2(15+4i)

expand:

22-8i+30+8i

combine like terms (which cancels out 8i and -8i):

22+30=52

Area

"i" is not a real number and thus should not be part of the area here, meaning this answer as it is is wrong and I don't know how one would change that.

Here's what I did to get 181-16i, in any case:

The formula for area is l*w, so I plugged in the numbers:

(11-4i)(15+4i)

expanded:

165+44i-60i-16i*i

and combined like terms:

181-16i

*i is [tex]\sqrt{-1}[/tex], so [tex]i^{2}[/tex]=-1 and -1*-16=16.

The _____ of a regular polygon is a point equidistant from each of its vertices.

Answers

Answer:

middle / centre

Step-by-step explanation:

Each point is the same distance to the middle of a polygon

hope this helps....

?• (-10) = 90
Please help I need it now

Answers

Answer:

x = -9

Step-by-step explanation:

x • -10 = 90

x = 90/-10

x = -9

Hope this helped! <3

A ticket at a movie theater costs $9.25.

How many tickets were purchased if the the total cost of tickets was $240.50?

Answers

Answer:

26 tickets

Step-by-step explanation:

240.50 divided by 9.25

Answer:

the answer to this is 26

Step-by-step explanation:

240.50 ÷ 9.25 = 26

3.) Solve:
5x + 3- 3x = 2(x + 3) - 5

Answers

Answer:

0 = -2

Step-by-step explanation:

Answer:

no answer.

Step-by-step explanation:

5x + 3 - 3x = 2(x + 3) - 5             Simplify the left.

2x + 3 = 2(x + 3) - 5                    Remove the brackets

2x + 3 = 2x + 6 - 5                      Simply the right

2x + 3 = 2x + 1                            

It doesn't matter what you do, this is going to give you an impossible answer. The 2x's will cancel out and you will get 3 = 1 which is impossible.

What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the
function g(x)=(x-4)2+2?
O-4
O-2
O2
O4

Answers

Answer:

-4

Step-by-step explanation:

When we talk of the horizontal translation, we are dealing with a change in the x value

Initially we had x alone while we had x-4 in the second

What this mean is that there is a change of -4

Answer:

Step-by-step explanation:

i put -4 and wrong, pretty sure its 4

-324/18
Plz show all the steps of how you got the answer.

Answers

Answer:

-18

Step-by-step explanation:

Step 1 - divide the numerator and denominator by 18

-324÷18 / 18÷18

Step 2 - divide the numbers

-18 / 18÷18  

-18/1

any expression divided by 1 remains the same

-18

Here is a list of numbers:
4.6, 3.9, 6.8, 8.6, 3.5, 0.8, 8.5, 2.8, 2.6
State the mediant​

Answers

Answer:

median is 3.9

Step-by-step explanation:

You arrange them all from the smallest to the biggest, then cross out pairs from each side till you get the one in the middle

0.8, 2.6, 2.8, 3.5, 3.9, 4.6, 6.8, 8.5, 8.6

What correlation is shown by the scatter plot?

Answers

linear correlation.

i don’t know how to do this and it’s due in an hour someone help please

Answers

Answer:

912 divided byt he square root of AB to 5^2

Step-by-step explanation:

Answer:

AB to 5^2

Step-by-step explanation:

Flattykawa -_-

Tyler practiced the clarinet for 64% as much time as Han practiced the piano. How long did he practice?

Answers

Answer:

Tyler practiced piano = 48 minutes

Step-by-step explanation:

Missing;

Hen practiced piano = 75 minutes

Given:

Tyler practiced piano = 64 % of Hen

Find:

How long Tyler practiced

Computation:

Tyler practiced piano = 64 % of Hen

Tyler practiced piano = 64 % x 75

Tyler practiced piano = 48 minutes

Which function has a range of y20?
ty
Time
(hours)
1
Temp.
(°F)
-8
2
{(5,0).
(-3,4).
(0,7).
(11,-6)
2
3
-2
O
-4-2
2
-2
2
5
5
No
-2
7
10

Answers

Answer:

t218

Step-by-step explanation:

due in a few hours, i'll give brainliest to the correct answer!!!

Answers

Answer:

Angle a=45, Angle b=45

Step-by-step explanation:

The angles are complementary angles which means they both add up to 90 degrees.  And if angles a and b are equal then its 90/2 which is 45.

which expression has a value of 50

Answers

Answer:

b

Step-by-step explanation:

(50 +10) / ( 5+5)

convert 17 kilometers to the nearest whole mile

Answers

Answer:

11miles

Step-by-step explanation:

1mile≈1,61km

so 17/1,61=10,56≈11miles

Answer:

10.56 (rounded)

(whole number is 10.5633)

Step-by-step explanation:

1 kilometer = 0.62 miles (rounded)

Multiply it by 17

=10.56 (rounded)

(whole number is 10.5633)

I need help with this fast! Thanks!
What is the value of the expression? 9 3/4−2 1/5+1/2

_ -- > Ex: 9 1/7
I need this fast!

Answers

Answer: 8 1/20 or 8.05.

Step-by-step explanation: First you would want to make 9 3/4 - 2 1/5 to 39/4 - 11/5. We need to get the LCD or Least Common denominator of 4 and 5, which is 20. The rule is what you multiplied the denominator by you must multiply the numerator by, so our new equation is 195/20 - 44/20, which is 151/20. Now, we have to find the LCD of 2 and 20, which is 10. So 151/20 + 10/20 is 161/20 or 8 1/20.

Use I'Hopital's Rule more than once to rewrite the limit in its final form as lim x --> 0
lim x --> 0 e^x -sinx - 1/ x^4 + 7x^3 + 8x^2

Answers

To compute the limit

[tex]\displaystyle\lim_{x\to0}\frac{e^x-\sin x-1}{x^4+7x^3+8x^2}[/tex]

notice that when x = 0, both the numerator and denominator converge to 0. Apply l'Hopital's rule once gives

[tex]\displaystyle\lim_{x\to0}\frac{e^x-\cos x}{4x^3+21x^2+16x}[/tex]

but again, this returns the indeterminate form 0/0. Applying again gives

[tex]\displaystyle\lim_{x\to0}\frac{e^x+\sin x}{12x^2+42x+16}[/tex]

so that the numerator converges to e⁰ + sin(0) = 1, and the denominator converges to 12•0² + 42•0 + 16 = 16.

So the limit is 1/16.

2(2x + 3)^2– 7(2x + 3) - 4

Answers

Answer:

Solution in photo

Step-by-step explanation:

Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$40.00
4%
?
The sales tax is $
The total cost is $

Answers

Answer:

100 + 4 = 104%

40/100 X 104 = 41.6

total cost: $41.60

sales tax: $1.60

Answer:

Tax: $1.6

Total cost: $41.6

Step-by-step explanation:

40*0.04 = 1.6, 40 + 1.6 = 41.6

what is the value of (f – 9)(144)?

Answers

Use distributive property

144(f-9)

144f- (144•9)

144f-1296

I NEED HELP PLEASE !!!!

Answers

Answer: de

Step-by-step explanation:


What is the perimeter of the shaded figure?
Square unit

Answers

Answer:

16

Step-by-step explanation:

What is 17,242 rounded to the nearest 10,000

Answers

17,242 rounded to the nearest 10,000 is 20,000.

The given number is 17,242.

We need to round the given number to the nearest 10,000.

How to round the given number to the nearest 10,000?

To round a number to the nearest 10,000, check the thousands of digits to decide whether to round up or round down. If the thousands are 5000 or more, round up. If they are 4999 or less, round down. In the given number the thousands are greater than 5000.

So, 17,242 rounded to the nearest 10,000 is 20,000.

Therefore, 17,242 rounded to the nearest 10,000 is 20,000.

To learn more about rounding to the nearest 10,000 visit:

https://brainly.com/question/310894.

#SPJ2

15 POINTS! Please solve: 3 - 2x = 13 + 3x

Answers

Answer:

x= -2

Step-by-step explanation:

hope this helped <3

3-2x = 13+ 3x
-5x = 10 divide by -5
x= -2

Drag the labels to the correct locations on the table. The labels can be used more than once, but not all labels will be used.

Identify whether each exponential expression models growth or decay and what the rate is.

Answers

Answer:

growth. 25%

decay. 25%

growth. 100%

growth. 1%

decay. 1%

Step-by-step explanation:

Hey, I'm using edmuentum too, just so you know, you only have to do the tutorials unless you get the Mastery test wrong. I normally just skip through them and just get the questions wrong since the teachers can't see your answers on the tutorials. :) Anyways the answer is:

The first is growth by 25%

The second is decay by 25%

The third is growth by 100%

The fourth is growth by 1%

The last is decay by 1%

Given that x is a nonnegative number, a student conjectured that x+3
Which value of x is a counterexample to the student's conjecture?


X= -1/3

X= -3

X= 2

X= 3

Answers

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

Given

Conjecture: [tex]x + 3 < x^2[/tex] --- (Missing)

Required

Which value of x prove the conjecture otherwise

To do this , we simply substitute the values of x in the options

[tex]1.\ x = -\frac{1}{3}[/tex]

This is negative;

So, there is no need to check

[tex]2.\ x = -3[/tex]

This is also negative;

So, there is no need to check

[tex]3.\ x = 2[/tex]

[tex]x + 3 < x^2[/tex]

[tex]2 + 3 < 2^2[/tex]

[tex]5 < 4[/tex]

This value of x is false because 5 is not less than 4

[tex]4.\ x = 3[/tex]

[tex]x + 3 < x^2[/tex]

[tex]3 + 3 < 3^2[/tex]

[tex]6 < 9[/tex]

Answer for brainliest

Answers

He paid $6.42 per bag. $25.81 - $6.55 = $19.26. $19.26/3 = $6.42

Consider this quadratic equation:
2x2+12=0
Comparing it to the standard form, name a, b, and c
a=
b=
c=

Answers

Answer:

a=2

b=0

c=12

Step-by-step explanation:

The standard form of a quadratic equation is ax²+bx+c=0

Here's the given equation:

2x²+12=0

You might notice that the term bx is not there (there is just ax² and c). That means that b is 0.

The term 2x² is the term ax² in this equation. The coefficient in the term is 2, so that means that a is 2

12 has no variable, so that means it'll be c in the equation.

Hope this helps!

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