(-2,3) , (-4,7)

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=7-(3)-4-(-2)

Simplify.

Simplify the numerator.

Multiply -1 by 3.

m=7-3-4-(-2)

Subtract 3 from 7.

m=4-4-(-2)

m=4-4-(-2)

Simplify the denominator.

Multiply -1 by -2.

m=4-4+2

Add -4 and 2.

m=4-2

m=4-2

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)⋅(-2)+b

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

3=(-2)⋅(-2)+b

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

(-2)⋅(-2)+b=3

Multiply -2 by -2.

4+b=3

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

Subtract 4 from both sides of the equation.

b=3-4

Subtract 4 from 3.

b=-1

b=-1

b=-1

The values of the slope and y-intercept are m=-2 and b=-1.

m=-2

b=-1

Find the Slope and Y-Intercept (-2,3) , (-4,7)