# Find the Y-Intercept 5x-4y=18 5x-4y=18
Rewrite in slope-intercept form.
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
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