Parallel and perpendicular slope

Exploring Parallel and Perpendicular Lines

Understanding the relationship between parallel and perpendicular lines and their significance in geometry.

Parallel and Perpendicular Lines

Multiple Choice

Determine whether the statement is always, sometimes, or never true. Explain your reasoning.

A vertical line is parallel to the y​ -axis.

• always

• sometimes

• never

Multiple Choice

Two distinct nonvertical lines that have the same slope are

• Perpendicular

• Parallel

• intersecting

Multiple Choice

Count rise over run. Which two lines are parallel?

• Blue and red

• blue and green

• red and green

• none

Multiple Select

Determine which of the lines, if any, are parallel. Explain.

Line a passes through (-1, -2) and (1, 0)

Line b passes through (4, 2) and (2, -2)

Line c passes through (0, 2) and (-1, 1)

• Line a and b

• Line b and c

• Line a anc c

• The same

  parallel

• the negative reciprocal

  perpendicular

Multiple Select

Determine which of the lines, if any, are parallel. Explain.

Line a: 4y + x = 8

Line b: 2y + x = 4

Line c: 2y = -3 + 6

• Lines a and b

• Lines b and c

• Lines a and c

• the same

• none of the above

Multiple Choice

Write an equation of the line that passes through (−1,3)​ and is parallel to the line y=2x+2​ .

• y=2x+3

• y=2x+5

• y=2x-1

• y=3x-1

Multiple Choice

Write an equation of the line that passes through (18, 2)​ and is parallel to the line

3y - x = -12

• $$y=3x+18$$

• $$y=\frac{1}{3}x-9$$

• $$y=\frac{1}{3}x-4$$

• $$y=\ 3x-4$$

Multiple Choice

Correct the error in writing an equation of the line that passes through (1, 3)  and is parallel to the line $$y\ =\ \frac{1}{4}x\ +2$$ .