Graph the equation using the intercept method. Label the intercepts on the graph. $$3 x + 4 y - 8 = 0$$

Question

Quizplus · Accepted Answer

To find the $x$-intercept, set $y$ to 0 and solve for $x$: $$3x + 4(0) - 8 = 0 \implies x = 8/3.$$ To find the $y$-intercept, set $x$ to 0 and solve for $y$: $$3(0) + 4y - 8 = 0\implies y = 2.$$ Therefore, the two intercepts are $(8/3, 0)$ and $(0, 2)$. Plotting these on the coordinate plane and connecting them with a line gives us the graph shown in choice $\boxed{	ext{(B)}}$.

Graph the Equation Using the Intercept Method 3x+4y−8=03 x + 4 y - 8 = 03x+4y−8=0

Graph the Equation Using the Intercept Method $3 x + 4 y - 8 = 0$