# Find the Y-Intercept 5x+9y-6=0

5x+9y-6=0
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
Move all terms not containing y to the right side of the equation.
Subtract 5x from both sides of the equation.
9y-6=-5x
Add 6 to both sides of the equation.
9y=-5x+6
9y=-5x+6
Divide each term by 9 and simplify.
Divide each term in 9y=-5x+6 by 9.
9y9=-5×9+69
Cancel the common factor of 9.
Cancel the common factor.
9y9=-5×9+69
Divide y by 1.
y=-5×9+69
y=-5×9+69
Simplify each term.
Move the negative in front of the fraction.
y=-(5)x9+69
Cancel the common factor of 6 and 9.
Factor 3 out of 6.
y=-5×9+3(2)9
Cancel the common factors.
Factor 3 out of 9.
y=-5×9+3⋅23⋅3
Cancel the common factor.
y=-5×9+3⋅23⋅3
Rewrite the expression.
y=-5×9+23
y=-5×9+23
y=-5×9+23
y=-5×9+23
y=-5×9+23
Rewrite in slope-intercept form.
y=-59x+23
y=-59x+23
Using the slope-intercept form, the y-intercept is 23.
b=23
Find the Y-Intercept 5x+9y-6=0

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