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?(1 point)Responses−1/2x+y=8 negative Start Fraction 1 over 2 End Fraction x plus y equals 8 2x−2y=−16 2 x minus 2 y equals negative 16y=1/2x+8 y equals Start Fraction 1 over 2 End Fraction x plus 8x−2y=−16

Answer 1

Start with point-slope: y − 9 = (1/2)(x − 2) → y = (1/2)x + 8. Multiply by 2 to remove fractions: 2y = x + 16 → x − 2y = −16.

So the correct standard-form option is: x − 2y = −16.