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Find the equation of the line through the points (-2, 1) and (-(frac{1}{2}), 4)

Find the equation of the line through the points (-2, 1) and (-(frac{1}{2}), 4)

  • A.
    y = 2x – 3
  • B.
    y = 2x + 5
  • C.
    y = 3x – 2
  • D.
    y = 2x + 1
Correct Answer: Option B
Explanation

(frac{y – y_1}{x – x_1}) = (frac{y_2 – y_1}{x_2 – x_1})
(frac{y – 1}{x –  -2}) = (frac{4 – 1}{-frac{1}{2} + 2})
= (frac{y – 1}{x + 2}) = (frac{3}{frac{3}{2}})
y = 2x + 5

There is an explanation video available below.

Explanation Video