Find the equation of a line parallel to y - 5 = 6x - 10 that passes through the point (4, 10). (answer in slope-intercept form)

A)
y = 6x - 14


B)
y = 6x + 14


C)
y = -6x - 14


D)
y =
1/6
x - 14

Respuesta :

ktreyb
Our equation is y = 6x - 5 when simplified. In order to be parallel, the equation for the answer must also have a slope of 6x. This rules out options C and D.

Now just plug in 4 for the x-value for each one to get your answer. A little mental math and I can already tell you it's option A.

6(4) - 14 = y
24 - 14 = y
10 = y

10 = 10

Whereas for option B:

6(4) + 14 = y
24 + 14 = y
38 = y

38 ≠ 10

Option A is your answer.