Find the y-intercept of the function 3x + 4y = 12

y-intercept = 3

Step-by-step explanation:

3x + 4y = 12

4y = -3x + 12

4y/4 = -3/4x + 12/4

y = -3/4x + 3

( 0 , 3 )

Step-by-step explanation:

1. Way one of solving this problem

This equation is in standard form, one must get it to slope-intercept form to find the answer. In other words, one must solve for "y"

3x + 4y = 12

Manipulate the literal equation with inverse operations;

3x + 4y = 12

4y = 12 - 3x

/4      /4

y = - x + 4

2. Way two of solving this equation

The y-intercept is when this line intercepts the y-axis, so "x" is zero. Substitute "0" in for "x", and solve to find the y-intercept

3x + 4y = 12

x = 0

3 (0) + 4y = 12

0 + 4y = 12

Inverse operations;

4y = 12

/4   /4

y = 3

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