Question

The equation of three lines are given below

Line 1: 6x+10y=-6
Line2: 5y=3x+4
Line3: y=5/3x-3

For each pair of lines determine whether they are parallel, perpendicular, or neither.

Answer 1

Answer:

Line 1 and Line 2: Neither

Line 1 and Line 3: Perpendicular

Line 2 and Line 3: Neither

Explanation:

6x + 10y = -6

10y = -6 - 6x

y = -6/10 - 6/10x

y = 6/10x - 6/10

y = -3/5x - 3/5
••••••••••••••••••••••••
5y = 3x + 4

y = 3/5x + 4/5
••••••••••••••••••••••••
y = 5/3x - 3
(Already in slope-intercept form)

Once you’ve done that, graph the lines and tell wether they are parallel, perpendicular or none

Answer 2

Line 1 and 3 are perpendicular lines.

Line 2 is neither.

Explanation:

Line 1: 10y = - 6x - 6

y = - 3/5x - 3/5

Line 2: 5y = 3x + 4

y = 3/5x + 4/5

Line 3: y = 5/3x - 3