Find the Slope and Y-Intercept (13,-9) , (-25,-17)

(13,-9) , (-25,-17)
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=-17-(-9)-25-(13)
Simplify.
Simplify the numerator.
Multiply -1 by -9.
m=-17+9-25-(13)
m=-8-25-(13)
m=-8-25-(13)
Simplify the denominator.
Multiply -1 by 13.
m=-8-25-13
Subtract 13 from -25.
m=-8-38
m=-8-38
Cancel the common factor of -8 and -38.
Factor -2 out of -8.
m=-2⋅4-38
Cancel the common factors.
Factor -2 out of -38.
m=-2⋅4-2⋅19
Cancel the common factor.
m=-2⋅4-2⋅19
Rewrite the expression.
m=419
m=419
m=419
m=419
m=419
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(419)x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(419)⋅(13)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
-9=(419)⋅(13)+b
Rewrite the equation as (419)⋅(13)+b=-9.
(419)⋅(13)+b=-9
Multiply (419)(13).
Combine 419 and 13.
4⋅1319+b=-9
Multiply 4 by 13.
5219+b=-9
5219+b=-9
Move all terms not containing b to the right side of the equation.
Subtract 5219 from both sides of the equation.
b=-9-5219
To write -9 as a fraction with a common denominator, multiply by 1919.
b=-9⋅1919-5219
Combine -9 and 1919.
b=-9⋅1919-5219
Combine the numerators over the common denominator.
b=-9⋅19-5219
Simplify the numerator.
Multiply -9 by 19.
b=-171-5219
Subtract 52 from -171.
b=-22319
b=-22319
Move the negative in front of the fraction.
b=-22319
b=-22319
b=-22319
The values of the slope and y-intercept are m=419 and b=-22319.
m=419
b=-22319
Find the Slope and Y-Intercept (13,-9) , (-25,-17)