Question

A line through which two points would be parallel to a line with slope of 3/4? show your Work.

Answer 1

The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

`m=(y_2-y_1)/(x_2-x_1)`

a) (0,5) and (-4,2)

`m=(2-5)/(-4-0)=(-3)/(-4)=(3)/(4)`

b) (4, 5) and (-8, 2)

`m=(2-5)/(-8-4)=(-3)/(-12)=(1)/(4)`

c) (10, 3) and (18, 7)

`m=(7-3)/(18-10)=(4)/(8)=(1)/(2)`

Two lines are parallel when they have the same slope, then the correct choice is a