Question

graph the solution set for this inequality:
-6x - 3y ≤ -18

step 1: identify the x- and y-intercepts of the boundary
line.
when x = 0, y =
when y = 0, x =

Explanation:

Step1: Find y-intercept (x=0)

Substitute \( x = 0 \) into \(-6x - 3y = -18\):
\(-6(0) - 3y = -18\)
\(-3y = -18\)
\( y = \frac{-18}{-3} = 6 \)

Step2: Find x-intercept (y=0)

Substitute \( y = 0 \) into \(-6x - 3y = -18\):
\(-6x - 3(0) = -18\)
\(-6x = -18\)
\( x = \frac{-18}{-6} = 3 \)

Answer:

When \( x = 0 \), \( y = 6 \); When \( y = 0 \), \( x = 3 \)