# Find the Slope and Y-Intercept (-1,4) , (2,5)

(-1,4) , (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-(4)2-(-1)
Simplify.
Simplify the numerator.
Multiply -1 by 4.
m=5-42-(-1)
Subtract 4 from 5.
m=12-(-1)
m=12-(-1)
Simplify the denominator.
Multiply -1 by -1.
m=12+1
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)⋅(-1)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
4=(13)⋅(-1)+b
Rewrite the equation as (13)⋅(-1)+b=4.
(13)⋅(-1)+b=4
Simplify each term.
Combine 13 and -1.
-13+b=4
Move the negative in front of the fraction.
-13+b=4
-13+b=4
Move all terms not containing b to the right side of the equation.
Add 13 to both sides of the equation.
b=4+13
To write 4 as a fraction with a common denominator, multiply by 33.
b=4⋅33+13
Combine 4 and 33.
b=4⋅33+13
Combine the numerators over the common denominator.
b=4⋅3+13
Simplify the numerator.
Multiply 4 by 3.
b=12+13
b=133
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 (-1,4) , (2,5)