Question

graph the line.
y + 2x = 5

Explanation:

Step1: Rewrite in slope-intercept form

Rearrange to solve for $y$:
$y = -2x + 5$

Step2: Find y-intercept

Set $x=0$, solve for $y$:
$y = -2(0) + 5 = 5$
This gives the point $(0, 5)$.

Step3: Find x-intercept

Set $y=0$, solve for $x$:
$0 = -2x + 5$
$2x = 5$
$x = \frac{5}{2} = 2.5$
This gives the point $(2.5, 0)$.

Step4: Plot and connect points

Mark $(0, 5)$ and $(2.5, 0)$ on the grid, then draw a straight line through them.

Answer:

The line passes through points $(0, 5)$ and $(2.5, 0)$, and extends infinitely in both directions on the coordinate plane.