Algebra Homework

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Find the value of k so that the line containing the points (−5,0) and (k,−2) is parallel to the line
y=(5/9)x−2

  • Algebra Homework -

    First we find the slope of the given points:
    m = (y2 - y1)/(x2 - x1)
    Substituting,
    m = (0 - (-2))/(-5 - k)
    m = 2/(-5 - k)
    Then, we get the slope of the given line.
    y = (5/9)x − 2
    Note that it follows the form y = mx + b, where m is the slope and b is the y-intercept. Therefore, its slope = 5/9.
    Recall that when two lines are parallel with each other, their slopes are equal. Thus, we equate them:
    2/(-5 - k) = 5/9
    2 * 9 = 5(-5 - k)
    18 = -25 - 5k
    5k = -25 - 18
    5k = -43
    k = -43/5

    Hope this helps~ :3

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