Find the x-intercept and y-intercept of the line. 3x + 6y=-18

Question

Find the x-intercept and y-intercept of the line.
3x + 6y=-18

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Caroline 3 weeks 2021-10-04T18:38:03+00:00 2 Answers 0

Answers ( )

    0
    2021-10-04T18:39:39+00:00

    Answer:

    The y-intercept is (0, -3).  The x-intercept is (-6, 0).

    Step-by-step explanation:

    y-intercept:  Let x = 0 and solve the resulting equation for y:

       3(0) + 6y = 18, or 6y = -18, or y = 3.  The y-intercept is (0, -3).

    x-intercept:  Let y = 0 and solve the resulting equation for x:

        3x + 6(0) = -18 yields x = -6.  The x-intercept is (-6, 0).

    0
    2021-10-04T18:39:51+00:00

    Answer: y-intercept=-3  (0,-3)        x-intercept=-6  (-6,0)

    Step-by-step explanation:

    1. to find x substitute y for 0

    • 3x+6(0)=-18
    • 3x=-18

    2. divide both sides by 3

    • 3x=-18
    • ÷3    ÷3
    •   x=-6

    3. to find y substitute x for 0

    • 3(0)+6y=-18
    • 6y=-18

    4. divide both sides by 6

    • 6y=-18
    • y=-3

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