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Reviewed CSCA Mathematics question · Easy

A line passes through the points (-2, 5) and (4, -1). What is the equation of the line in slope-intercept form?

  1. y = -x + 3
  2. y = -x + 1
  3. y = -2x + 1
  4. y = 2x - 3
Show the answer and explanation

Correct answer

A. y = -x + 3

Principle or equation

The slope m = (y2 - y1)/(x2 - x1), then use point-slope form to find y-intercept.

Why this answer is correct

Slope = (-1 - 5)/(4 - (-2)) = -6/6 = -1. Using point (-2,5): y - 5 = -1(x + 2) => y = -x + 3.

Example

For points (1,2) and (3,4), slope = 1, equation y = x + 1.

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