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4 June, 02:12

Aline has a slope of - 3/2 and has a y-intercept of 3

What is the x-intercept of the line?

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Answers (2)
  1. 4 June, 04:32
    0
    (2,0)

    Step-by-step explanation:

    y = mx+b

    m = slope = - 3/2

    Equation for the line in slope-intercept form:

    y = - 3/2x + b

    y-intercept = 3, when x=0

    x=0 ⇒ y = b = 3

    (0, 3) is y-intercept

    x - intercept, when y=0

    y = 0 ⇒ - 3/2x+3=0

    -3/2x=-3

    x=2

    So (2, 0) is x - intercept
  2. 4 June, 04:32
    0
    The x intercept is (2,0)

    Step-by-step explanation:

    We know the slope and the y intercept so we can use the slope intercept to write the equation

    y = mx+b where m is the slope and b is the y intercept

    y = - 3/2x + 3

    We want to find the x intercept so set y = 0 and solve for x

    0 = - 3/2x + 3

    Subtract - 3 from each side

    -3 = - 3/2x+3-3

    -3 = - 3/2x

    Multiply each side by - 2/3

    -3 * - 2/3 = - 3/2 x * - 2/3

    2 = x

    The x intercept is (2,0)
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