Question

y = x + 3\
3x + y = -5\
plot two lines by clicking the graph.\
click a line to delete it.

Explanation:

Step1: Identify points for $y=x+3$

Find two points on the line:

• When $x=0$, $y=0+3=3$, so point $(0, 3)$
• When $x=1$, $y=1+3=4$, so point $(1, 4)$

Step2: Identify points for $3x+y=-5$

Rewrite as $y=-3x-5$, find two points:

• When $x=0$, $y=0-5=-5$, so point $(0, -5)$
• When $x=-1$, $y=-3(-1)-5=-2$, so point $(-1, -2)$

Step3: Find intersection (verify solution)

Set $x+3=-3x-5$
$x+3x=-5-3$
$4x=-8$
$x=-2$
Substitute $x=-2$ into $y=x+3$: $y=-2+3=1$
Intersection point: $(-2, 1)$

Answer:

1. For $y=x+3$: Plot and connect points $(0, 3)$ and $(1, 4)$ (extend the line across the grid).
2. For $3x+y=-5$: Plot and connect points $(0, -5)$ and $(-1, -2)$ (extend the line across the grid).
3. The two lines intersect at $(-2, 1)$.