Proving Parallel Lines with Equations

y = 3x +2
y = 3x - 3
These lines are...

• Parallel

• Perpendicular

• Neither

• The same line

Which value of x will show that lines l and m are parallel?

• 20

• 22

• 24

• 25

Which value of x will show that line m is parallel to line r?

• 33

• 25

• 24

• 20

Write an equation of the line that passes through (3,1) and is parallel to the line y = 3x + 1.

• y = -3x + 1

• y = 3x - 8

• y = -1/3x -8

• y = 3x + 4

Determine if the lines are parallel based on their equation:

• Yes, parallel

• No, not parallel.

Solve for x.

Write an equation for a line parallel to the line
y = 1/3x - 4 through (-3, 2)

• y = 2/3x +3

• y = -1/3x + 3

• y = 1/3x + 3

• y = -5/3x + 3

• Yes, vertical angles are congruent

• No, vertical angles are not enough to prove lines parallel

• Yes, corresponding angles are congruent

• Yes, alternate interior angles are congruent

• No

• Yes, Corresponding angles are congruent

• Yes, Alternate Interior angles are congruent

• Yes, Alternate Exterior angles are congruent

• No

• Yes, Corresponding angles are congruent

• Yes, Alternate Interior angles are congruent

• Yes, Alternate Exterior angles are congruent