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17 April, 23:00

Without sketching the graph, find the x intercepts and y-intercepts of the graph of the equation 2x+3y=12 What isjare the x-intercept (s) ? Select the correct choice below and, il necessary, il in the answer box within your choice? A. The x intercept (s) isare? O B. There are no x-intercepts (Type an integer or a simplifted fraction Use a comma to separate answers as needed) Click to select and enter your answeris) and then click Check Answer Clear All 0

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  1. 18 April, 01:54
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    x-intercept: (6,0)

    y-intercept: (0,4)

    Step-by-step explanation:

    The x-intercepts lay on the x-axis and therefore their y-coordinate is 0.

    To find the x-intercept, you set y to 0 and solve for x.

    2x+3y=12

    Set y=0.

    2x+3 (0) = 12

    2x+0 = 12

    2x = 12

    Divide both sides by 2:

    x = 12/2

    x = 6

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

    The y-intercepts lay on the y-axis and therefore their x-coordinate is 0.

    To find the y-intercept, you set x to 0 solve for y.

    2x+3y=12

    2 (0) + 3y=12

    0+3y = 12

    3y = 12

    Divide both sides by 3:

    y = 12/3

    y = 4

    The y-intercept is (0,4).
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