Find the slope and y-intercept of the line $3 x + 4 y = 12$
A) $m = - \frac { 3 } { 4 }$ (0, 5)
B) $m = \frac { 3 } { 4 }$ (5, 0)
C) $m = - \frac { 3 } { 4 }$ (0, 3)
D) $m = - \frac { 3 } { 4 }$ (0, -5)
E) $m = \frac { 3 } { 4 }$ (0, -3)

Question

Quizplus · Accepted Answer

To find the slope (m) and y-intercept, the equation needs to be in the form $y = mx + b$. Rearranging $3x + 4y = 12$ gives $y = -\frac{3}{4}x + 3$, so the slope $m = -\frac{3}{4}$ and the y-intercept is (0, 3).

Find the Slope and Y-Intercept of the Line 3x+4y=123 x + 4 y = 123x+4y=12

Find the Slope and Y-Intercept of the Line $3 x + 4 y = 12$