Question

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.

Answer 1

• 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.