Question

consider the following equation.
8y = 48
step 2 of 2: graph the equation by plotting the x and y-intercepts. if an intercept does not exist, or is duplicated, use another point on the line to plot the graph.
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Explanation:

Step1: Simplify the equation

$8y = 48 \implies y = \frac{48}{8} = 6$

Step2: Identify intercepts

• y-intercept: When $x=0$, $y=6$, so the point is $(0, 6)$.
• x-intercept: There is no x-intercept, since $y=6$ is a horizontal line that never crosses the x-axis.

Step3: Find a second point

Choose any $x$-value, e.g., $x=5$, then $y=6$, so the point is $(5, 6)$.

Answer:

The graph is a horizontal line passing through points $(0, 6)$ and $(5, 6)$ (or any other point with $y=6$). There is no x-intercept, and the y-intercept is at $(0, 6)$.