5x-4y=18

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.

-4y=18-5x

Divide each term by -4 and simplify.

Divide each term in -4y=18-5x by -4.

-4y-4=18-4+-5x-4

Cancel the common factor of -4.

Cancel the common factor.

-4y-4=18-4+-5x-4

Divide y by 1.

y=18-4+-5x-4

y=18-4+-5x-4

Simplify 18-4+-5x-4.

Simplify each term.

Cancel the common factor of 18 and -4.

Factor 2 out of 18.

y=2(9)-4+-5x-4

Cancel the common factors.

Factor 2 out of -4.

y=2⋅92⋅-2+-5x-4

Cancel the common factor.

y=2⋅92⋅-2+-5x-4

Rewrite the expression.

y=9-2+-5x-4

y=9-2+-5x-4

y=9-2+-5x-4

Move the negative in front of the fraction.

y=-92+-5x-4

Dividing two negative values results in a positive value.

y=-92+5×4

y=-92+5×4

Reorder -92 and 5×4.

y=5×4-92

y=5×4-92

y=5×4-92

Rewrite in slope-intercept form.

y=54x-92

y=54x-92

Using the slope-intercept form, the y-intercept is -92.

b=-92

Find the Y-Intercept 5x-4y=18