(-4,3) , (-2,-1)

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

Simplify.

Simplify the numerator.

Multiply -1 by 3.

m=-1-3-2-(-4)

Subtract 3 from -1.

m=-4-2-(-4)

m=-4-2-(-4)

Simplify the denominator.

Multiply -1 by -4.

m=-4-2+4

Add -2 and 4.

m=-42

m=-42

Divide -4 by 2.

m=-2

m=-2

m=-2

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

y=(-2)⋅x+b

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

y=(-2)⋅(-4)+b

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

3=(-2)⋅(-4)+b

Rewrite the equation as (-2)⋅(-4)+b=3.

(-2)⋅(-4)+b=3

Multiply -2 by -4.

8+b=3

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

Subtract 8 from both sides of the equation.

b=3-8

Subtract 8 from 3.

b=-5

b=-5

b=-5

The values of the slope and y-intercept are m=-2 and b=-5.

m=-2

b=-5

Find the Slope and Y-Intercept (-4,3) , (-2,-1)