Sketch the graph of the line $- 3 x + 2 y + 6 = 0$ by plotting the x - and y -intercepts.

Question

Quizplus · Accepted Answer

To find the x-intercept, we set y equal to zero and solve for x:
\begin{align*}
-3x+2(0)+6&=0\
-3x+6&=0\
-3x&=-6\
x&=2
\end{align*}
So the x-intercept is (2,0).

To find the y-intercept, we set x equal to zero and solve for y:
\begin{align*}
-3(0)+2y+6&=0\
2y+6&=0\
2y&=-6\
y&=-3
\end{align*}
So the y-intercept is (0,-3).

Plotting these two points and connecting them with a straight line gives us the graph of the line $- 3 x + 2 y + 6 = 0$, as shown in choice B.

Sketch the Graph of the Line −3x+2y+6=0- 3 x + 2 y + 6 = 0−3x+2y+6=0

Sketch the Graph of the Line $- 3 x + 2 y + 6 = 0$