(1,-3) , (-1,7)

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)-1-(1)

Simplify.

Simplify the numerator.

Multiply -1 by -3.

m=7+3-1-(1)

Add 7 and 3.

m=10-1-(1)

m=10-1-(1)

Simplify the denominator.

Multiply -1 by 1.

m=10-1-1

Subtract 1 from -1.

m=10-2

m=10-2

Divide 10 by -2.

m=-5

m=-5

m=-5

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

y=(-5)⋅x+b

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

y=(-5)⋅(1)+b

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

-3=(-5)⋅(1)+b

Rewrite the equation as (-5)⋅(1)+b=-3.

(-5)⋅(1)+b=-3

Multiply -5 by 1.

-5+b=-3

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

Add 5 to both sides of the equation.

b=-3+5

Add -3 and 5.

b=2

b=2

b=2

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

m=-5

b=2

Find the Slope and Y-Intercept (1,-3) , (-1,7)