# Find the Slope and Y-Intercept (-14,-20) , (-5,9)

(-14,-20) , (-5,9)
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=9-(-20)-5-(-14)
Simplify.
Simplify the numerator.
Multiply -1 by -20.
m=9+20-5-(-14)
m=29-5-(-14)
m=29-5-(-14)
Simplify the denominator.
Multiply -1 by -14.
m=29-5+14
m=299
m=299
m=299
m=299
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(299)x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(299)⋅(-14)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
-20=(299)⋅(-14)+b
Rewrite the equation as (299)⋅(-14)+b=-20.
(299)⋅(-14)+b=-20
Simplify each term.
Multiply (299)(-14).
Combine 299 and -14.
29⋅-149+b=-20
Multiply 29 by -14.
-4069+b=-20
-4069+b=-20
Move the negative in front of the fraction.
-4069+b=-20
-4069+b=-20
Move all terms not containing b to the right side of the equation.
Add 4069 to both sides of the equation.
b=-20+4069
To write -20 as a fraction with a common denominator, multiply by 99.
b=-20⋅99+4069
Combine -20 and 99.
b=-20⋅99+4069
Combine the numerators over the common denominator.
b=-20⋅9+4069
Simplify the numerator.
Multiply -20 by 9.
b=-180+4069
b=2269
b=2269
b=2269
b=2269
The values of the slope and y-intercept are m=299 and b=2269.
m=299
b=2269
Find the Slope and Y-Intercept (-14,-20) , (-5,9)