# Find the Slope and Y-Intercept (6,25) , (9,34)

(6,25) , (9,34)
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=34-(25)9-(6)
Simplify.
Simplify the numerator.
Multiply -1 by 25.
m=34-259-(6)
Subtract 25 from 34.
m=99-(6)
m=99-(6)
Simplify the denominator.
Multiply -1 by 6.
m=99-6
Subtract 6 from 9.
m=93
m=93
Divide 9 by 3.
m=3
m=3
m=3
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(3)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(3)⋅(6)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
25=(3)⋅(6)+b
Rewrite the equation as (3)⋅(6)+b=25.
(3)⋅(6)+b=25
Multiply 3 by 6.
18+b=25
Move all terms not containing b to the right side of the equation.
Subtract 18 from both sides of the equation.
b=25-18
Subtract 18 from 25.
b=7
b=7
b=7
The values of the slope and y-intercept are m=3 and b=7.
m=3
b=7
Find the Slope and Y-Intercept (6,25) , (9,34)

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