Question

Write an equation in general form (Ax+By+C =0) for the line that passes through A(2, 4) and B(11, 8). ​

Answer 1

• 4x - 9y + 28 = 0

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Find the slope of AB:

• m(AB) = (8 - 4)/(11 - 2) = 4/9

Use point-slope form and point A(2, 4) to determine the line:

• y - 4 = (4/9)(x - 2)

Multiply both sides by 9 to clear fraction:

• 9(y - 4) = 4(x - 2)

Open parenthesis and convert the equation into ax + by + c = 0:

• 9y - 36 = 4x - 8 ⇒
• 4x - 9y - 8 + 36 = 0 ⇒
• 4x - 9y + 28 = 0