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Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)

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Intros
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Lessons
  1. What is Point-Slope form?
  2. Slope intercept form VS. General form VS. Slope-point form
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Examples
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Lessons
  1. Determine the slope-point form of the following line equations:
    Slope-Point form: y - y_1 = m (x - x_1)
  2. Given the info of slope and two other points on the graph, find the missing variable.
    1. Given the slope m=4/5m = 4/5 and two points on a line (−3,−4)(-3, -4) and (2,a)(2, a). Find the value of aa.
    2. Given the slope m=−4/7m = -4/7 and two points on a line (3,4)(3, 4) and (a,a−1)(a, a-1). Find the value of aa.
  3. Given a point and the slope, write the equation in slope-point form and sketch the graph.
    1. (3,2),m=2/3(3, 2), m = 2/3
    2. (5,−7),m=0(5, -7), m = 0
    3. (−3,8),m=undefined(-3, 8), m = undefined