all lines parallel to the line 3x-8y=4 are given by the equation of which of the following form?

Question

all lines parallel to the line 3x-8y=4 are given by the equation of which of the following form?

Answer 1

Hello, Timi,

I don't see any "equations of the following form," but I'll show how it's done, assuming the options are in the standard form y = mx + b.

Rearrange 3x - 8y = 4 to the standard format:

-8y = -3x + 4

y = (3/8)x - (1/2)

The slope, m, of (3/8) must also be the slope of any parallel line. If needed, put all the options into the standard y=mx+b format and look for one that has the same (3/8) slope. The value of b doesn't matter - it will move the line, but it won't change it's slope.

Bob