9x=4y+6

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 4y+6=9x.

4y+6=9x

Subtract 6 from both sides of the equation.

4y=9x-6

Divide each term by 4 and simplify.

Divide each term in 4y=9x-6 by 4.

4y4=9×4+-64

Cancel the common factor of 4.

Cancel the common factor.

4y4=9×4+-64

Divide y by 1.

y=9×4+-64

y=9×4+-64

Simplify each term.

Cancel the common factor of -6 and 4.

Factor 2 out of -6.

y=9×4+2(-3)4

Cancel the common factors.

Factor 2 out of 4.

y=9×4+2⋅-32⋅2

Cancel the common factor.

y=9×4+2⋅-32⋅2

Rewrite the expression.

y=9×4+-32

y=9×4+-32

y=9×4+-32

Move the negative in front of the fraction.

y=9×4-32

y=9×4-32

y=9×4-32

Rewrite in slope-intercept form.

y=94x-32

y=94x-32

Using the slope-intercept form, the slope is 94.

m=94

Find the Slope 9x=4y+6