Question

14) Write an equation of the line that is parallel to 2x + 4y = 6 and passes through the point (6, 4).

A) y = 2x + 4
B) y = 2x - 8
C) y = -2x + 16
D) y = -12x + 7

Answer 1

well first you would have to make the first eqation into slope intercept form which will be y= -1/2x+3/2 so the answer would have to be C) y= -2X +16

Answer 2

When you want a parallel line through a given point (h, k), you can ...

• eliminate any constants from the given equation (replace them with 0)
• replace x with (x-h)
• replace y with (y-k)
• rearrange the equation to the form you desire.

When we do that here for (h, k) = (6, 4), we get ...

... 2(x -6) +4(y -4) = 0

... 2x -12 +4y -16 = 0 . . . . eliminate parenthses

... 2x + 4y = 28 . . . . . . . . collect terms, add 28

... 4y = -2x +28 . . . . . . . . add -2x, then divide by 4 to get ...

... y = -1/2x +7 . . . . matches selection D)