9x=3y+5

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Rewrite the equation as 3y+5=9x.

3y+5=9x

Subtract 5 from both sides of the equation.

3y=9x-5

Divide each term by 3 and simplify.

Divide each term in 3y=9x-5 by 3.

3y3=9×3+-53

Cancel the common factor of 3.

Cancel the common factor.

3y3=9×3+-53

Divide y by 1.

y=9×3+-53

y=9×3+-53

Simplify each term.

Cancel the common factor of 9 and 3.

Factor 3 out of 9x.

y=3(3x)3+-53

Cancel the common factors.

Factor 3 out of 3.

y=3(3x)3(1)+-53

Cancel the common factor.

y=3(3x)3⋅1+-53

Rewrite the expression.

y=3×1+-53

Divide 3x by 1.

y=3x+-53

y=3x+-53

y=3x+-53

Move the negative in front of the fraction.

y=3x-53

y=3x-53

y=3x-53

y=3x-53

Using the slope-intercept form, the slope is 3.

m=3

Find the Slope 9x=3y+5