Question

1. circle the line that represents 12 = 3x + 4y. line a line b line c show or explain how you know. 4. solve 15x + 3y = 2 for y.

Explanation:

Answer:

To solve \( 15x + 3y = 2 \) for \( y \):

1. Subtract \( 15x \) from both sides:

\( 3y = -15x + 2 \)

1. Divide every term by \( 3 \):

\( y = -5x + \frac{2}{3} \)

(For the graphing part, to identify \( 12 = 3x + 4y \), rewrite it in slope - intercept form (\( y=mx + b \)):

1. Subtract \( 3x \) from both sides: \( 4y=-3x + 12 \)
2. Divide by \( 4 \): \( y =-\frac{3}{4}x+3 \). The line with slope \( -\frac{3}{4} \) and \( y \) - intercept \( 3 \) (crosses \( y \) - axis at \( (0,3) \)) is the one representing \( 12 = 3x + 4y \).)