5x-2y=4

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=4-5x

Divide each term by -2 and simplify.

Divide each term in -2y=4-5x by -2.

-2y-2=4-2+-5x-2

Cancel the common factor of -2.

Cancel the common factor.

-2y-2=4-2+-5x-2

Divide y by 1.

y=4-2+-5x-2

y=4-2+-5x-2

Simplify 4-2+-5x-2.

Simplify each term.

Divide 4 by -2.

y=-2+-5x-2

Dividing two negative values results in a positive value.

y=-2+5×2

y=-2+5×2

Reorder -2 and 5×2.

y=5×2-2

y=5×2-2

y=5×2-2

Rewrite in slope-intercept form.

y=52x-2

y=52x-2

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

b=-2

Find the Y-Intercept 5x-2y=4