(-4,-3) , (-1,-8)

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=-8-(-3)-1-(-4)

Simplify.

Simplify the numerator.

Multiply -1 by -3.

m=-8+3-1-(-4)

Add -8 and 3.

m=-5-1-(-4)

m=-5-1-(-4)

Simplify the denominator.

Multiply -1 by -4.

m=-5-1+4

Add -1 and 4.

m=-53

m=-53

Move the negative in front of the fraction.

m=-53

m=-53

m=-53

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

y=(-53)⋅x+b

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

y=(-53)⋅(-4)+b

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

-3=(-53)⋅(-4)+b

Rewrite the equation as (-53)⋅(-4)+b=-3.

(-53)⋅(-4)+b=-3

Multiply (-53)(-4).

Multiply -4 by -1.

4(53)+b=-3

Combine 4 and 53.

4⋅53+b=-3

Multiply 4 by 5.

203+b=-3

203+b=-3

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

Subtract 203 from both sides of the equation.

b=-3-203

To write -3 as a fraction with a common denominator, multiply by 33.

b=-3⋅33-203

Combine -3 and 33.

b=-3⋅33-203

Combine the numerators over the common denominator.

b=-3⋅3-203

Simplify the numerator.

Multiply -3 by 3.

b=-9-203

Subtract 20 from -9.

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=-53 and b=-293.

m=-53

b=-293

Find the Slope and Y-Intercept (-4,-3) , (-1,-8)