Question

graph this line using the slope and y-intercept:
y = 9x - 6
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. For $y=9x-6$, $b=-6$, so the y-intercept point is $(0, -6)$.

Step2: Use slope to find 2nd point

Slope $m=9=\frac{9}{1}$, meaning rise 9, run 1. From $(0, -6)$, add 1 to $x$ and 9 to $y$:
$x=0+1=1$, $y=-6+9=3$. The second point is $(1, 3)$.

Step3: Plot and connect points

Mark $(0, -6)$ and $(1, 3)$, then draw a straight line through them.

Answer:

1. Plot the y-intercept point $(0, -6)$ on the graph.
2. Plot the second point $(1, 3)$ on the graph.
3. Draw a straight line passing through these two points to represent the line $y=9x-6$.