(-2,10) , (-3,4)

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

m=change in ychange 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).

m=y2-y1x2-x1

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

m=4-(10)-3-(-2)

Simplify.

Simplify the numerator.

Multiply -1 by 10.

m=4-10-3-(-2)

Subtract 10 from 4.

m=-6-3-(-2)

m=-6-3-(-2)

Simplify the denominator.

Multiply -1 by -2.

m=-6-3+2

Add -3 and 2.

m=-6-1

m=-6-1

Divide -6 by -1.

m=6

m=6

m=6

Substitute the value of m into the slope-intercept form of the equation, y=mx+b.

y=(6)⋅x+b

Substitute the value of x into the slope-intercept form of the equation, y=mx+b.

y=(6)⋅(-2)+b

Substitute the value of y into the slope-intercept form of the equation, y=mx+b.

10=(6)⋅(-2)+b

Rewrite the equation as (6)⋅(-2)+b=10.

(6)⋅(-2)+b=10

Multiply 6 by -2.

-12+b=10

Move all terms not containing b to the right side of the equation.

Add 12 to both sides of the equation.

b=10+12

Add 10 and 12.

b=22

b=22

b=22

The values of the slope and y-intercept are m=6 and b=22.

m=6

b=22

Find the Slope and Y-Intercept (-2,10) , (-3,4)