# Find the Slope and Y-Intercept (13,2) , (15,-5) (13,2) , (15,-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-(2)15-(13)
Simplify.
Simplify the numerator.
Multiply -1 by 2.
m=-5-215-(13)
Subtract 2 from -5.
m=-715-(13)
m=-715-(13)
Simplify the denominator.
Multiply -1 by 13.
m=-715-13
Subtract 13 from 15.
m=-72
m=-72
Move the negative in front of the fraction.
m=-72
m=-72
m=-72
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(-72)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(-72)⋅(13)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
2=(-72)⋅(13)+b
Rewrite the equation as (-72)⋅(13)+b=2.
(-72)⋅(13)+b=2
Simplify each term.
Multiply (-72)(13).
Multiply 13 by -1.
-13(72)+b=2
Combine -13 and 72.
-13⋅72+b=2
Multiply -13 by 7.
-912+b=2
-912+b=2
Move the negative in front of the fraction.
-912+b=2
-912+b=2
Move all terms not containing b to the right side of the equation.
Add 912 to both sides of the equation.
b=2+912
To write 2 as a fraction with a common denominator, multiply by 22.
b=2⋅22+912
Combine 2 and 22.
b=2⋅22+912
Combine the numerators over the common denominator.
b=2⋅2+912
Simplify the numerator.
Multiply 2 by 2.
b=4+912
b=952
b=952
b=952
b=952
The values of the slope and y-intercept are m=-72 and b=952.
m=-72
b=952
Find the Slope and Y-Intercept (13,2) , (15,-5)     