Find the slope and y-intercept of the line.
-$$- 6 x + 5 y = 1$$
A) slope $= 6 ; y$-intercept $= 12$
B) slope $= \frac { 6 } { 5 } ; y$-intercept $= \frac { 1 } { 5 }$
C) slope $= \frac { 5 } { 6 } ; y -$ intercept $= - \frac { 1 } { 6 }$
D) slope $= \frac { 12 } { 5 } ; y$-intercept $= \frac { 1 } { 5 }$

Question

Quizplus · Accepted Answer

To find the slope and y-intercept, the equation needs to be in the form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Rearranging $-6x + 5y = 1$ gives $5y = 6x + 1$, and then dividing by 5 gives $y = \frac{6}{5}x + \frac{1}{5}$. Thus, the slope is $\frac{6}{5}$ and the y-intercept is $\frac{1}{5}$.

Find the Slope and Y-Intercept of the Line −6x+5y=1- 6 x + 5 y = 1−6x+5y=1

Find the Slope and Y-Intercept of the Line $- 6 x + 5 y = 1$