10y-2x=-8

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

y=mx+b

Add 2x to both sides of the equation.

10y=-8+2x

Divide each term by 10 and simplify.

Divide each term in 10y=-8+2x by 10.

10y10=-810+2×10

Cancel the common factor of 10.

Cancel the common factor.

10y10=-810+2×10

Divide y by 1.

y=-810+2×10

y=-810+2×10

Simplify -810+2×10.

Simplify each term.

Cancel the common factor of -8 and 10.

Factor 2 out of -8.

y=2(-4)10+2×10

Cancel the common factors.

Factor 2 out of 10.

y=2⋅-42⋅5+2×10

Cancel the common factor.

y=2⋅-42⋅5+2×10

Rewrite the expression.

y=-45+2×10

y=-45+2×10

y=-45+2×10

Move the negative in front of the fraction.

y=-45+2×10

Cancel the common factor of 2 and 10.

Factor 2 out of 2x.

y=-45+2(x)10

Cancel the common factors.

Factor 2 out of 10.

y=-45+2×2⋅5

Cancel the common factor.

y=-45+2×2⋅5

Rewrite the expression.

y=-45+x5

y=-45+x5

y=-45+x5

y=-45+x5

Reorder -45 and x5.

y=x5-45

y=x5-45

y=x5-45

Rewrite in slope-intercept form.

y=15x-45

y=15x-45

Using the slope-intercept form, the slope is 15.

m=15

Find the Slope 10y-2x=-8