Mathematics

Question

what is the x-intercept
1/2x - 3y = 8

2 Answer

  • x intercept is when y = 0
    so 1/2 x - 0 = 8
    solving for x
    1/2 x = 8
    multiply both sides by 2
    x = 16 is the y intercept
  • so first make it into slope intercept form y=mx+b

    1/2x-3y=8
    subtract 1/2x from both sides
    -3y=8-1/2x
    multiply both sides by -1
    3y=1/2x-8
    divide both sides by 3
    y=1/6x-8/3

    the x intercept is when y=0
    so set y to zero
    0=1/6x-8/3
    add 8/3 to both sides
    8/3=1/6x
    multiply both sides by 6
    16=x

    the x intercept is 16
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