5x-2y=-10

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.

-2y=-10-5x

Divide each term by -2 and simplify.

Divide each term in -2y=-10-5x by -2.

-2y-2=-10-2+-5x-2

Cancel the common factor of -2.

Cancel the common factor.

-2y-2=-10-2+-5x-2

Divide y by 1.

y=-10-2+-5x-2

y=-10-2+-5x-2

Simplify -10-2+-5x-2.

Simplify each term.

Divide -10 by -2.

y=5+-5x-2

Dividing two negative values results in a positive value.

y=5+5×2

y=5+5×2

Reorder 5 and 5×2.

y=5×2+5

y=5×2+5

y=5×2+5

Rewrite in slope-intercept form.

y=52x+5

y=52x+5

Rewrite in y=mx+b Form 5x-2y=-10