# Find the Slope and Y-Intercept (4,-3) , (-2,-5)

(4,-3) , (-2,-5)
Find the value of the slope.
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-(-3)-2-(4)
Simplify.
Simplify the numerator.
Multiply -1 by -3.
m=-5+3-2-(4)
Add -5 and 3.
m=-2-2-(4)
m=-2-2-(4)
Simplify the denominator.
Multiply -1 by 4.
m=-2-2-4
Subtract 4 from -2.
m=-2-6
m=-2-6
Cancel the common factor of -2 and -6.
Factor -2 out of -2.
m=-2⋅1-6
Cancel the common factors.
Factor -2 out of -6.
m=-2⋅1-2⋅3
Cancel the common factor.
m=-2⋅1-2⋅3
Rewrite the expression.
m=13
m=13
m=13
m=13
m=13
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(13)x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(13)⋅(4)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
-3=(13)⋅(4)+b
Rewrite the equation as (13)⋅(4)+b=-3.
(13)⋅(4)+b=-3
Combine 13 and 4.
43+b=-3
Move all terms not containing b to the right side of the equation.
Subtract 43 from both sides of the equation.
b=-3-43
To write -3 as a fraction with a common denominator, multiply by 33.
b=-3⋅33-43
Combine -3 and 33.
b=-3⋅33-43
Combine the numerators over the common denominator.
b=-3⋅3-43
Simplify the numerator.
Multiply -3 by 3.
b=-9-43
Subtract 4 from -9.
b=-133
b=-133
Move the negative in front of the fraction.
b=-133
b=-133
b=-133
The values of the slope and y-intercept are m=13 and b=-133.
m=13
b=-133
Find the Slope and Y-Intercept (4,-3) , (-2,-5)

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