# Find the Slope and Y-Intercept (6,-3) , (11,1)

(6,-3) , (11,1)
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=1-(-3)11-(6)
Simplify.
Simplify the numerator.
Multiply -1 by -3.
m=1+311-(6)
m=411-(6)
m=411-(6)
Simplify the denominator.
Multiply -1 by 6.
m=411-6
Subtract 6 from 11.
m=45
m=45
m=45
m=45
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(45)x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(45)⋅(6)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
-3=(45)⋅(6)+b
Rewrite the equation as (45)⋅(6)+b=-3.
(45)⋅(6)+b=-3
Multiply (45)(6).
Combine 45 and 6.
4⋅65+b=-3
Multiply 4 by 6.
245+b=-3
245+b=-3
Move all terms not containing b to the right side of the equation.
Subtract 245 from both sides of the equation.
b=-3-245
To write -3 as a fraction with a common denominator, multiply by 55.
b=-3⋅55-245
Combine -3 and 55.
b=-3⋅55-245
Combine the numerators over the common denominator.
b=-3⋅5-245
Simplify the numerator.
Multiply -3 by 5.
b=-15-245
Subtract 24 from -15.
b=-395
b=-395
Move the negative in front of the fraction.
b=-395
b=-395
b=-395
The values of the slope and y-intercept are m=45 and b=-395.
m=45
b=-395
Find the Slope and Y-Intercept (6,-3) , (11,1)