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:
[tex]3x-4y = 12\\-4y = -3x+12\\y = \frac{3}{4} x-3[/tex]
2) Lines that are in slope-intercept form are represented by the formula [tex]y = mx + b[/tex]. The number in place of [tex]m[/tex], or the coefficient of the x-term, represents the slope. The number in place of [tex]b[/tex] represents the y-intercept. So, the slope of [tex]y = \frac{3}{4} x-3[/tex] is [tex]\frac{3}{4}[/tex], and its y-intercept is -3.
