Question

The graph of 3x + 4y = 12 is a liner equation . which is an equivalent equation?

1) y = (-3/4)x + 3

2) y = (3/4)x - 3

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

4) y = (4/3)x - 12

Answer 1

1.) y=(-3/4)x+3

Explanation: To convert this to slope-intercept form or a linear equation, we have to solve for y. To do this, I first subtracted over 3x to isolate 4y. This gave me 4y=-3x+12. Finally, I divided everything by 4 in order to completely isolate y so that it is in linear equation form, giving me my answer, y= -3/4x+3