Write the equation in slope-intercept form and determine the slope and y-intercept.
-$$- 2 x = - 3 y - 6$$
A) $y = \frac { 2 } { 3 } x - 2 ;$ slope: $\frac { 2 } { 3 } ; y$-intercept: $( 0 , - 2 )$
B) $y = \frac { 2 } { 3 } x + 6 ;$ slope: $\frac { 2 } { 3 } ; y$-intercept: $( 0,6 )$
C) $y = - \frac { 2 } { 3 } x + 6$; slope: $- \frac { 2 } { 3 } ; y$-intercept: $( 0,6 )$
D) $y = - \frac { 2 } { 3 } x - 2 ;$ slope: $- \frac { 2 } { 3 } ; y$-intercept: $( 0 , - 2 )$

Question

Quizplus · Accepted Answer

To get the equation in slope-intercept form ($y = mx + b$), solve for $y$: $-2x = -3y - 6$ becomes $y = \frac{2}{3}x - 2$, with a slope of $\frac{2}{3}$ and a y-intercept of $(0, -2)$.

Write the Equation in Slope-Intercept Form and Determine the Slope −2x=−3y−6- 2 x = - 3 y - 6−2x=−3y−6

Write the Equation in Slope-Intercept Form and Determine the Slope $- 2 x = - 3 y - 6$