Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

draw a line with the given intercepts. x + y = -4 use the graphing tool…

Question

draw a line with the given intercepts.
x + y = -4

use the graphing tool to graph the equation. use the intercepts when drawing the line. if only one intercept exists, use it and another point to draw the line.
click to enlarge graph

Explanation:

Step1: Find x-intercept (y=0)

Set $y=0$, solve for $x$:
$x + 0 = -4 \implies x = -4$
x-intercept: $(-4, 0)$

Step2: Find y-intercept (x=0)

Set $x=0$, solve for $y$:
$0 + y = -4 \implies y = -4$
y-intercept: $(0, -4)$

Step3: Plot and connect points

Plot $(-4, 0)$ and $(0, -4)$, draw a straight line through them.

Answer:

The line passes through the points $(-4, 0)$ and $(0, -4)$, forming a straight line on the coordinate grid.