Question

graph the line.
$y + 1 = -2(x - 2)$

Explanation:

Step1: Rewrite to slope-intercept form

First, expand and isolate $y$:
$y + 1 = -2x + 4$
$y = -2x + 4 - 1$
$y = -2x + 3$

Step2: Identify key line features

Slope $m = -2$, y-intercept $(0, 3)$.

Step3: Find a second point

Use slope: from $(0,3)$, move 1 right, 2 down to $(1, 1)$.

Step4: Graph the line

Plot $(0,3)$ and $(1,1)$, draw a straight line through them.

Answer:

The line has a slope of $-2$ and y-intercept at $(0, 3)$. To graph it, plot the y-intercept, then use the slope to find a second point (e.g., $(1, 1)$), and draw a straight line connecting the points. The slope-intercept form of the line is $y = -2x + 3$.