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Write the equation of the line through (1, 4) with slope -2

Worked through step by step. More algebra.

Answer
y=−2x+6\boxed{y = -2x + 6}

Checking the point: when x=1x = 1, y=−2(1)+6=4y = -2(1) + 6 = 4, which matches the given point (1,4)(1, 4).

Problem: Find the equation of the line passing through the point (1,4)(1, 4) with a slope of m=−2m = -2.

Steps

  1. Slope-intercept form
    y=mx+by = mx + b
  2. Substitute slope and point
    4=−2(1)+b4 = -2(1) + b
  3. Simplify
    4=−2+b4 = -2 + b
  4. Solve for y-intercept
    6=b6 = b
  5. Write final equation
    y=−2x+6y = -2x + 6

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