5x-3y=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.

-3y=8-5x

Divide each term by -3 and simplify.

Divide each term in -3y=8-5x by -3.

-3y-3=8-3+-5x-3

Cancel the common factor of -3.

Cancel the common factor.

-3y-3=8-3+-5x-3

Divide y by 1.

y=8-3+-5x-3

y=8-3+-5x-3

Simplify 8-3+-5x-3.

Simplify each term.

Move the negative in front of the fraction.

y=-83+-5x-3

Dividing two negative values results in a positive value.

y=-83+5×3

y=-83+5×3

Reorder -83 and 5×3.

y=5×3-83

y=5×3-83

y=5×3-83

Rewrite in slope-intercept form.

y=53x-83

y=53x-83

Using the slope-intercept form, the y-intercept is -83.

b=-83

Find the Y-Intercept 5x-3y=8