Question

What are the intercepts of -3x+5y≥-15

-5,0
0,5
0,-3
0,3
5,0
-3,0

Answer 1

Answer: (5, 0) and (0, -3)

Explanation:

We can substitute 0 for x to solve for the y-intercept and then substitute 0 for y to solve for the x-intercept. We can also graph this line, see attached.

Solving for x-intercept:

-3x + 5y ≥ -15

-3x + 5(0) ≥ -15

-3x ≥ -15

x ≤ 5

(5, 0)

Solving for y-intercept:

-3x + 5y ≥ -15

-3(0) + 5y ≥ -15

5y ≥ -15

y ≥ -3

(0, -3)