Question

Word Problem: The point (-6, 1) is on a line that has a slope of 1/3. List three other points on the line.

Answers

  1. The other points on the line are as follows:
    (3, 4)(6, 5)(9, 6)

    How to find the point on a line using slope?

    The point (-6, 1) is on a line that has a slope of 1/3.
    The equation of a line can be described as follows:
    y = mx + b
    • m = slope
    • b = y-intercept
    Therefore,
    y = 1 / 3 x + b
    (-6, 1)
    Therefore,
    y = 1 / 3(-6) + b
    1 = -2 + b
    b = 1 + 2
    b = 3
    Therefore,
    y = 1 / 3 x + 3
    when x = 3
    y = 1 / 3 (3) + 3
    y = 1 + 3
    y = 4
    (3, 4)
    when x = 6
    y =  1 / 3 (6) + 3
    y = 2 + 3
    y = 5
    when x = 9
    y = 1 / 3 (9) + 3
    y = 3 + 3
    y = 6
    The other points on the line are as follows:
    (3, 4)(6, 5)(9, 6)
    learn more on slope here: https://brainly.com/question/16210865
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