Determine the slope and the y-intercept.
-$$4 x - 6 y = - 6$$
A) Slope $\frac { 2 } { 3 } , y$-intercept $( 0,1 )$
B) Slope $- 1 , \mathrm { y }$-intercept $( 0,1 )$
C) Slope $1 , y$-intercept $( 0 , - 1 )$
D) Slope $- \frac { 2 } { 3 } , y$-intercept $( 0 , - 1 )$

Question

Quizplus · Accepted Answer

Slope-intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. To get the equation in this form, solve for $y$:$$4x - 6y = -6$$$$-6y = -4x - 6$$$$y = \frac{2}{3}x + 1$$So the slope is $\frac{2}{3}$ and the y-intercept is $(0, 1)$.

Determine the Slope and the Y-Intercept 4x−6y=−64 x - 6 y = - 64x−6y=−6

Determine the Slope and the Y-Intercept $4 x - 6 y = - 6$