5x=4y-13

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

y=mx+b

Rewrite the equation as 4y-13=5x.

4y-13=5x

Add 13 to both sides of the equation.

4y=5x+13

Divide each term by 4 and simplify.

Divide each term in 4y=5x+13 by 4.

4y4=5×4+134

Cancel the common factor of 4.

Cancel the common factor.

4y4=5×4+134

Divide y by 1.

y=5×4+134

y=5×4+134

y=5×4+134

Rewrite in slope-intercept form.

y=54x+134

y=54x+134

Using the slope-intercept form, the y-intercept is 134.

b=134

Find the Y-Intercept 5x=4y-13