Question

What is the slope and y-intercept of the line 3x - 4y = 12?*

Answer 1

Answer:

m = 3/4; b = -3    

Step-by-step explanation:

1) First, put the given equation into slope-intercept form. This is so we can identify its slope and y-intercept easily. Isolate y:

$3x-4y = 12\\-4y = -3x+12\\y = \frac{3}{4} x-3$

2) Lines that are in slope-intercept form are represented by the formula $y = mx + b$. The number in place of $m$, or the coefficient of the x-term, represents the slope. The number in place of $b$ represents the y-intercept. So, the slope of  $y = \frac{3}{4} x-3$  is $\frac{3}{4}$, and its y-intercept is -3.