5x-15y=-8

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

y=mx+b

Subtract 5x from both sides of the equation.

-15y=-8-5x

Divide each term by -15 and simplify.

Divide each term in -15y=-8-5x by -15.

-15y-15=-8-15+-5x-15

Cancel the common factor of -15.

Cancel the common factor.

-15y-15=-8-15+-5x-15

Divide y by 1.

y=-8-15+-5x-15

y=-8-15+-5x-15

Simplify -8-15+-5x-15.

Simplify each term.

Dividing two negative values results in a positive value.

y=815+-5x-15

Cancel the common factor of -5 and -15.

Factor -5 out of -5x.

y=815+-5(x)-15

Cancel the common factors.

Factor -5 out of -15.

y=815+-5(x)-5(3)

Cancel the common factor.

y=815+-5x-5⋅3

Rewrite the expression.

y=815+x3

y=815+x3

y=815+x3

y=815+x3

Reorder 815 and x3.

y=x3+815

y=x3+815

y=x3+815

Rewrite in slope-intercept form.

y=13x+815

y=13x+815

Rewrite in Slope-Intercept Form 5x-15y=-8