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30 June, 14:50

Find the location of the x-intercept, the location of the y-intercept, and the slope for the line

whose equation is 15y - 8x = 30.

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Answers (1)
  1. 30 June, 15:06
    0
    x intercept (15/4,0)

    y intercept (0,2)

    slope 8/15

    Step-by-step explanation:

    15y - 8x = 30.

    To find the x intercept, set y = 0

    15 (0) - 8x = 30

    8x = 30

    Divide each side by 8 to solve for x

    8x/8 = 30/8

    x = 15/4

    To find the y intercept, set x = 0

    15y - 8 (0) = 30

    15y = 30

    Divide each side by 15

    15y/15 = 30/15

    y = 2

    To find the slope we solve the equation for y

    15y - 8x = 30.

    Add 8x to each side

    15y - 8x+8x = 8x + 30.

    15y = 8x + 30

    Divide each side by 15

    15y/15 = 8x/15 + 30/15

    y = 8/15x + 2

    The slope is 8/15
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