Question

$y = -3x + 2$
$y = 2 - 3x$
$y = mx + b$
$m$: slope
$b$: $y$-intercept
graph the equation $y = 2 - 3x$.
slope: $-3$
$y$-intercept: $2$
$y = -3x + 2$

Explanation:

Step1: Match to slope-intercept form

Rewrite $y=2-3x$ as $y=-3x+2$, which fits $y=mx+b$.

Step2: Identify slope and intercept

Slope $m=-3$, y-intercept $b=2$.

Step3: Plot y-intercept

Mark the point $(0, 2)$ on the y-axis.

Step4: Use slope for second point

From $(0,2)$, move down 3, right 1 to $(1, -1)$.

Step5: Draw the line

Connect the two points and extend.

Answer:

The graph of $y=2-3x$ is the same line as $y=-3x+2$, which is already plotted on the given coordinate grid: it passes through $(0,2)$ and has a downward slope of $-3$, extending across the grid as shown.