The equations of three lines are given below.
line 1: 3y = -4x + 4
line 2: 6x + 8y = 6
line 3: y = - 4 / 3 x - 7
the fraction is negative
for each pair of lines, determine whether they are parallel, perpendicular, or neither.
line 1 and line 2: parallel, perpendicular, or neither
line 1 and line 3: parallel, perpendicular, or neither
line 2 and line 3: parallel, perpendicular, or neither

ANSWER

line 1 and line 2: neither

line 1 and line 3 : parallel

line 2 and line 3: neither

EXPLANATION

The equation of line 1 is

3y = -4x + 4

We rewrite in slope intercept form to get:

The slope is

The second line is:

6x + 8y = 6

We rewrite in slope intercept form to get,

The slope is

The third line is

line 1 and line 2: are neither parallel nor perpendicular because the two slope s are not the same and their product is not -1.

line 1 and line 3 are parallel because their slopes are the same

line 2 and line 3:are neither parallel nor perpendicular because the two slopes are not the same and their product is not -1.

b

step-by-step explanation: