10x-5y=-30

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

y=mx+b

Subtract 10x from both sides of the equation.

-5y=-30-10x

Divide each term by -5 and simplify.

Divide each term in -5y=-30-10x by -5.

-5y-5=-30-5+-10x-5

Cancel the common factor of -5.

Cancel the common factor.

-5y-5=-30-5+-10x-5

Divide y by 1.

y=-30-5+-10x-5

y=-30-5+-10x-5

Simplify -30-5+-10x-5.

Simplify each term.

Divide -30 by -5.

y=6+-10x-5

Cancel the common factor of -10 and -5.

Factor -5 out of -10x.

y=6+-5(2x)-5

Cancel the common factors.

Factor -5 out of -5.

y=6+-5(2x)-5(1)

Cancel the common factor.

y=6+-5(2x)-5⋅1

Rewrite the expression.

y=6+2×1

Divide 2x by 1.

y=6+2x

y=6+2x

y=6+2x

y=6+2x

Reorder 6 and 2x.

y=2x+6

y=2x+6

y=2x+6

y=2x+6

Using the slope-intercept form, the slope is 2.

m=2

Find the Slope 10x-5y=-30