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Leo knows that the slope of a line is 4 and the line passes through the point (-7, 18). Without doing any...

Leo knows that the slope of a line is 4 and the line passes through the point (-7, 18). Without doing any calculations, can Leo easily write an equation for the line in slope-intercept form? Why or why not? Record your thoughts in the bubble at the right.
Write an equation in point-slope form given a point on the line and the slope of the line.
1. (8, 3), m = 4
2. (-6, 12), m = -2
3. (-2, -11), m = 5/2

Answer

Leo's Question: Leo cannot easily write the equation in slope-intercept form without doing calculations because the slope-intercept form requires knowing the y-intercept, which is not directly given. Calculations are needed to find the y-intercept using the point-slope form first.

  1. Equation for (8, 3), m = 4:
    y - 3 = 4(x - 8)
  2. Equation for (-6, 12), m = -2:
    y - 12 = -2(x + 6)
  3. Equation for (-2, -11), m = 5/2:
    y + 11 = (5/2)(x + 2)

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