Question

use technology to find points and graph the line $4y + x = 16$, following the instructions below.
done plotting points
plot at least two points that fit on the axes below. click a point to delete it.
graph with x and y axes from -10 to 10

Explanation:

Step1: Find x-intercept

Set \( y = 0 \) in \( 4y + x = 16 \). Then \( 4(0)+x = 16 \), so \( x = 16 \). The point is \( (16, 0) \).

Step2: Find y-intercept

Set \( x = 0 \) in \( 4y + x = 16 \). Then \( 4y+0 = 16 \), so \( y = 4 \). The point is \( (0, 4) \).

Step3: Plot points

Plot \( (16, 0) \) on the x - axis and \( (0, 4) \) on the y - axis, then draw a line through them.

Answer:

Two points on the line \( 4y + x = 16 \) are \( (16, 0) \) and \( (0, 4) \). (To graph, plot these two points and draw a line connecting them.)