Question

Which of the following are equations for the line shown below? Check all that
apply.
(3, 4)
5
(-1,-2)
A. y - 2 = 1.5(x - 1)
B. Y + 2 = 1.5(x + 1)
C. y - 4 = 1.5(x - 3)
D. y = 1.5x -0.5

Answer 1

Answer:

  B, C, D

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

The slope is obviously 1.5. All answer choices agree on that.

The two points shown are (-1, -2) and (3, 4), so the two point-slope equations for these points are ...

  y -(-2) = 1.5(x -(-1))   ⇒   y +2 = 1.5(x +1) . . . . . matches choice B

  y -4 = 1.5(x -3) . . . . . matches choice C

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Either one of these equations can be simplified to slope-intercept form

  y +2 = 1.5x +1.5 . . . . eliminate parentheses from the first point-slope equation

  y = 1.5x -0.5 . . . . . . . subtract 2 . . . . . matches choice D