Question

Given the equation y − 3 = 1/2 (x + 6) in point-slope form, identify the equation of the same line in standard form. )
a: x − 2y = −12
b: y = 1/2x
c: y = 1/2x + 6
d: y = 1/2x + 9

Answer 1

Answer:

a: x − 2y = −12

Step-by-step explanation:

the standard form of a line is is usually given as Ax + By = C, so just by deduction you can tell that the correct answer is a.

If you want to do the procedure it would be:

y − 3 = 1/2 (x + 6)

y − 3 = 1/2 x + 3

y - 1/2 x = 3 + 3

y - 1/2 x = 6

(y - 1/2 x = 6) * 2 to get rid of the fraction

2y - x = 12  rearrenge the terms

x - 2y = -12