Question

1. $y = -x + 2$

Explanation:

Step1: Find y-intercept (x=0)

Substitute $x=0$ into $y=-x+2$:
$y=-(0)+2=2$
Point: $(0, 2)$

Step2: Find x-intercept (y=0)

Substitute $y=0$ into $y=-x+2$:
$0=-x+2 \implies x=2$
Point: $(2, 0)$

Step3: Find a third point (x=1)

Substitute $x=1$ into $y=-x+2$:
$y=-(1)+2=1$
Point: $(1, 1)$

Step4: Plot and connect points

Plot $(0,2)$, $(2,0)$, $(1,1)$; draw a straight line through them.

Answer:

The line $y=-x+2$ is graphed by plotting the points $(0, 2)$, $(2, 0)$, and $(1, 1)$, then drawing a straight line passing through all three points.