# Find the Y-Intercept 12x+9y=7 12x+9y=7
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 12x from both sides of the equation.
9y=7-12x
Divide each term by 9 and simplify.
Divide each term in 9y=7-12x by 9.
9y9=79+-12×9
Cancel the common factor of 9.
Cancel the common factor.
9y9=79+-12×9
Divide y by 1.
y=79+-12×9
y=79+-12×9
Simplify 79+-12×9.
Simplify each term.
Cancel the common factor of -12 and 9.
Factor 3 out of -12x.
y=79+3(-4x)9
Cancel the common factors.
Factor 3 out of 9.
y=79+3(-4x)3(3)
Cancel the common factor.
y=79+3(-4x)3⋅3
Rewrite the expression.
y=79+-4×3
y=79+-4×3
y=79+-4×3
Move the negative in front of the fraction.
y=79-4×3
y=79-4×3
Reorder 79 and -4×3.
y=-4×3+79
y=-4×3+79
y=-4×3+79
Rewrite in slope-intercept form.
y=-43x+79
y=-43x+79
Using the slope-intercept form, the y-intercept is 79.
b=79
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