(14,2) , (-4,-13)

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=-13-(2)-4-(14)

Simplify.

Simplify the numerator.

Multiply -1 by 2.

m=-13-2-4-(14)

Subtract 2 from -13.

m=-15-4-(14)

m=-15-4-(14)

Simplify the denominator.

Multiply -1 by 14.

m=-15-4-14

Subtract 14 from -4.

m=-15-18

m=-15-18

Cancel the common factor of -15 and -18.

Factor -3 out of -15.

m=-3⋅5-18

Cancel the common factors.

Factor -3 out of -18.

m=-3⋅5-3⋅6

Cancel the common factor.

m=-3⋅5-3⋅6

Rewrite the expression.

m=56

m=56

m=56

m=56

m=56

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

y=(56)x+b

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

y=(56)⋅(14)+b

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

2=(56)⋅(14)+b

Rewrite the equation as (56)⋅(14)+b=2.

(56)⋅(14)+b=2

Simplify each term.

Cancel the common factor of 2.

Factor 2 out of 6.

52(3)⋅14+b=2

Factor 2 out of 14.

52⋅3⋅(2⋅7)+b=2

Cancel the common factor.

52⋅3⋅(2⋅7)+b=2

Rewrite the expression.

53⋅7+b=2

53⋅7+b=2

Combine 53 and 7.

5⋅73+b=2

Multiply 5 by 7.

353+b=2

353+b=2

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

Subtract 353 from both sides of the equation.

b=2-353

To write 2 as a fraction with a common denominator, multiply by 33.

b=2⋅33-353

Combine 2 and 33.

b=2⋅33-353

Combine the numerators over the common denominator.

b=2⋅3-353

Simplify the numerator.

Multiply 2 by 3.

b=6-353

Subtract 35 from 6.

b=-293

b=-293

Move the negative in front of the fraction.

b=-293

b=-293

b=-293

The values of the slope and y-intercept are m=56 and b=-293.

m=56

b=-293

Find the Slope and Y-Intercept (14,2) , (-4,-13)