(-12,7) , (-10,-4)

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=-4-(7)-10-(-12)

Simplify.

Simplify the numerator.

Multiply -1 by 7.

m=-4-7-10-(-12)

Subtract 7 from -4.

m=-11-10-(-12)

m=-11-10-(-12)

Simplify the denominator.

Multiply -1 by -12.

m=-11-10+12

Add -10 and 12.

m=-112

m=-112

Move the negative in front of the fraction.

m=-112

m=-112

m=-112

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

y=(-112)⋅x+b

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

y=(-112)⋅(-12)+b

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

7=(-112)⋅(-12)+b

Rewrite the equation as (-112)⋅(-12)+b=7.

(-112)⋅(-12)+b=7

Simplify each term.

Cancel the common factor of 2.

Move the leading negative in -112 into the numerator.

-112⋅-12+b=7

Factor 2 out of -12.

-112⋅(2(-6))+b=7

Cancel the common factor.

-112⋅(2⋅-6)+b=7

Rewrite the expression.

-11⋅-6+b=7

-11⋅-6+b=7

Multiply -11 by -6.

66+b=7

66+b=7

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

Subtract 66 from both sides of the equation.

b=7-66

Subtract 66 from 7.

b=-59

b=-59

b=-59

The values of the slope and y-intercept are m=-112 and b=-59.

m=-112

b=-59

Find the Slope and Y-Intercept (-12,7) , (-10,-4)