Question

use technology to find points and graph the line $y + 3x = -1$, following the instructions below.
done plotting points
plot at least two points that fit on the axes below. click a point to delete it.

Explanation:

Step1: Rewrite the equation

First, rewrite the equation \( y + 3x = -1 \) in slope - intercept form (\( y=mx + b \)) by solving for \( y \). We get \( y=-3x - 1 \).

Step2: Find the first point (x = 0)

Substitute \( x = 0 \) into the equation \( y=-3x - 1 \). Then \( y=-3(0)-1=-1 \). So one point on the line is \( (0,-1) \).

Step3: Find the second point (x = 1)

Substitute \( x = 1 \) into the equation \( y=-3x - 1 \). Then \( y=-3(1)-1=-3 - 1=-4 \). So another point on the line is \( (1,-4) \).

(We can also choose other values of \( x \), for example, if \( x=-1 \), then \( y=-3(-1)-1 = 3 - 1 = 2 \), and the point is \( (-1,2) \))

Answer:

Two points on the line \( y + 3x=-1 \) are \( (0,-1) \) and \( (1,-4) \) (or other valid points like \( (-1,2) \) etc.). To graph the line, plot these points on the coordinate plane and draw a straight line through them.