Question

1. graph by finding the slope and the y-intercept.

$y = -3x + 2$
slope (m) =
y-intercept (b) =

Explanation:

Step1: Identify slope from slope-intercept form

The equation is in $y=mx+b$ form, where $m$ is slope. For $y=-3x+2$, $m=-3$.

Step2: Identify y-intercept from slope-intercept form

In $y=mx+b$, $b$ is the y-intercept. For $y=-3x+2$, $b=2$.

Step3: Plotting steps (brief)

1. Mark the y-intercept point $(0, 2)$ on the grid.
2. Use slope $\frac{-3}{1}$: from $(0,2)$, move down 3 units and right 1 unit to plot $(1, -1)$, or up 3 units and left 1 unit to plot $(-1, 5)$. Connect these points to draw the line.

Answer:

slope (m) = $-3$
y-intercept (b) = $2$
(Graph: A straight line passing through $(0,2)$, $(1,-1)$, and $(-1,5)$ on the provided grid)