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A line passes through point (8, 9) and has a slope of -5/4

Write an equation in Ax+By = C form for this line.
Use integers for A, B, and C.

1 Answer

4 votes

Answer:

  • 5x + 4y = 76

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With the given information, use the point-slope form and then convert it to standard:

  • y - y₁ = m(x - x₁), where m- slope, (x₁, y₁) - the given point

By substituting we get:

  • y - 9 = (- 5/4)(x - 8)

Multiply both sides by 4 and rearrange:

  • 4(y - 9) = - 5(x - 8)
  • 4y - 36 = - 5x + 40
  • 5x + 4y = 40 + 36
  • 5x + 4y = 76

The equation of the line is 5x + 4y = 76.

User Terite
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