Write the slope intercept form of the line through the given points.?

First of all, Slope intercept form is Y=MX+B Where, M is slope and B is a constant.

You need to find the slope of each of your pairs of numbers. That's done by

Y2-Y1 / X2-X1.

Now you need to find B, to finish the equation. You do this by choosing a point and substituting them in and working the equation out until you get B= (an integer)

I will do one for you as an example. "3) through: (-2, -1) and (-1, 1)"

Find the slope of the line. Y2-Y1 is the numerator. 1-(-1)=2 Now for the denominator, X2-X1. -1-(-2)=1

Together it looks like,

1+1 / -1+2

Slope equals 2.

So far in writing our equation, we have Y=2X+B

We need to solve for B. I picked point 'A,' (-2, -1), to substitute in for X and Y.

So,

-1=2(-2)+B Multiply the 2 and -2.

-1=-4+B Add 4 to both sides.

3=B

Now put the whole equation together!

Y=2X+3 <--That is the answer to finding the slope intercept form of the line through given points, (-2, -1) and (-1, 1)

I hope this helped and I know you can do the rest on your own! :)

First find the slope using the slope formula (y2 - y1)/(x2 - x1), where (x2, y2) and (x1, y1) are points on the line.

3.) Slope = (y2 - y1)/(x2 - x1) = (-1 - 1)/(-2 - -1) = -2/(-2 + 1) = -2/-1 = 2

Now that you know the slope, you can use either of the points (it doesn't matter which one) to find the equation like you usually do.

4.) Slope = (0 - 5)/(4 - -1) = -5/(4 + 1) = -5/5 = -1

5.) Slope = (-2 - 0)/(0 - 4) = -2/-4 = 1/2

6.) Slope = (3 - -1)/(5 - 4) = (3 + 1)/1 = 4/1 = 4

Try the others yourself.

slope intercrpt form is 'y = mx + b' so we need to find the m and the b. the m is the slope. and the b is the y-intercpt. so if the question is throught (-2,-1) and (-1,1) to find the slope u use this formula

(y2 - y1) / (x2 - x1) the 2 stands for the 2nd point given, so the (-1,1)

and the 1 stands for the first point, so the (-2,-1) so yu would plug in -1 for y2 and 1 for y1

(-1-1) / (x2-x1) and same thing with the x's so it would be ((-1)-1) / (-1-(-2) simplify the parentcys first so you get (-2) / ( 1) (you get 1 becuase if u minus a negative it turns positive)

so the ur slope is -2/1 that is your m

so plug in all you know y=(-2/1)x+b, so then you have your slope and points so, then you can slove for b which u said above that you can do

Find the slope with the points using the formula

y2-y1/x2-x1

so the first one would be 1-(-1) over -1-(-2) so its 2/1 or other words

now do the rest with what you know

slope intercept is y=mx+b

first find m, find this by plugging the two points into m=(y2-y1)/(x2-x1)

for the first.

m=(1+1)/(-1+2)

m=2/1

m=2

now you have the equation y=2x+b so you need to find b, do this by plugging one of the points into the equation and solving for b

1=2(-1)+b

1=-2+b

3=b

your equation for the first is y=2x+3, do the same for the rest.