Question

use technology to find points and graph the line $5x - 3y = -12$, 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: Find x-intercept (y=0)

Substitute \( y = 0 \) into \( 5x - 3y = -12 \):
\( 5x - 3(0) = -12 \)
\( 5x = -12 \)
\( x = -\frac{12}{5} = -2.4 \)
So, point: \( (-2.4, 0) \)

Step2: Find y-intercept (x=0)

Substitute \( x = 0 \) into \( 5x - 3y = -12 \):
\( 5(0) - 3y = -12 \)
\( -3y = -12 \)
\( y = 4 \)
So, point: \( (0, 4) \)

Step3: Verify another point (e.g., x=3)

Substitute \( x = 3 \) into \( 5x - 3y = -12 \):
\( 5(3) - 3y = -12 \)
\( 15 - 3y = -12 \)
\( -3y = -27 \)
\( y = 9 \)
Point: \( (3, 9) \) (optional, but confirms the line)

Answer:

Two points on the line \( 5x - 3y = -12 \) are \( (-2.4, 0) \) and \( (0, 4) \) (or \( (3, 9) \), etc.). Plot these on the graph.