Question

graph this line using the slope and y-intercept:
$y = \frac{9}{7}x - 7$
click to select points on the graph.

Explanation:

Step1: Identify y-intercept

The equation is in slope-intercept form $y=mx+b$, where $b$ is the y-intercept. Here, $b=-7$, so the y-intercept point is $(0, -7)$.

Step2: Identify slope

The slope $m=\frac{9}{7}$, meaning $\frac{\text{rise}}{\text{run}}=\frac{9}{7}$. From the y-intercept $(0, -7)$, move 7 units right and 9 units up to get a second point: $(0+7, -7+9)=(7, 2)$.

Step3: Plot and connect points

Plot $(0, -7)$ and $(7, 2)$, then draw a straight line through them.

Answer:

The line passes through points $(0, -7)$ and $(7, 2)$, with a straight line connecting these points extending across the coordinate grid.