(-14,0) , (-16,5)

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=5-(0)-16-(-14)

Simplify.

Simplify the numerator.

Multiply -1 by 0.

m=5+0-16-(-14)

Add 5 and 0.

m=5-16-(-14)

m=5-16-(-14)

Simplify the denominator.

Multiply -1 by -14.

m=5-16+14

Add -16 and 14.

m=5-2

m=5-2

Move the negative in front of the fraction.

m=-52

m=-52

m=-52

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

y=(-52)⋅x+b

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

y=(-52)⋅(-14)+b

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

0=(-52)⋅(-14)+b

Rewrite the equation as (-52)⋅(-14)+b=0.

(-52)⋅(-14)+b=0

Simplify each term.

Cancel the common factor of 2.

Move the leading negative in -52 into the numerator.

-52⋅-14+b=0

Factor 2 out of -14.

-52⋅(2(-7))+b=0

Cancel the common factor.

-52⋅(2⋅-7)+b=0

Rewrite the expression.

-5⋅-7+b=0

-5⋅-7+b=0

Multiply -5 by -7.

35+b=0

35+b=0

Subtract 35 from both sides of the equation.

b=-35

b=-35

The values of the slope and y-intercept are m=-52 and b=-35.

m=-52

b=-35

Find the Slope and Y-Intercept (-14,0) , (-16,5)