(6,25) , (9,34)

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

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)