Find the slope and y -intercept and use them to draw the line. $3 y - 2 = - 2 x - 11$

Question

Quizplus · Accepted Answer

To find the slope and y-intercept we first need to isolate y on one side of the equation.

\begin{align*}
3y - 2 &= -2x - 11\
3y &= -2x - 9\
y &= -\frac{2}{3}x - 3
\end{align*}

So we can see that the slope of the line is $-\frac{2}{3}$ and the y-intercept is $(0, -3)$. Choice B has the correct slope and y-intercept and correctly represents the equation of the line.

Find the Slope and Y -Intercept and Use Them to Draw