Question

A line passes through the point (2,9) and has a slope of 1/2. Which option correctly writes the equation of the line in standard form?

A. y=1/2x+8

B. −1/2x+y=8

C. 2x−2y=−16

D. x−2y=−16

Answer 1

Point-slope: y − 9 = (1/2)(x − 2).
So y = (1/2)x + 8. Converting to standard form (Ax + By = C) by multiplying by 2: x − 2y = −16.

Answer: D.