Question

graph this line using the slope and y-intercept:
$y = \frac{9}{8}x$
click to select points on the graph.

Explanation:

Step1: Identify slope and y-intercept

The line is in slope-intercept form $y=mx+b$, where $m$ is slope and $b$ is y-intercept. For $y=\frac{9}{8}x$, $m=\frac{9}{8}$, $b=0$.

Step2: Plot y-intercept

The y-intercept is 0, so plot the point $(0,0)$.

Step3: Use slope for second point

Slope $\frac{9}{8}=\frac{\text{rise}}{\text{run}}$. From $(0,0)$, move 8 right (run) and 9 up (rise) to get $(8,9)$.

Step4: Draw the line

Connect $(0,0)$ and $(8,9)$, extend the line across the grid.

Answer:

The line passes through the points $(0,0)$ and $(8,9)$, and extends infinitely in both directions along the grid.