Additional Topics in Math

Parallel and Perpendicular Lines

Apply slope relationships in the coordinate plane. Each question below has a complete worked solution.

This collection of 25 SAT math practice questions on parallel and perpendicular lines is sequenced by difficulty so you can warm up on routine problems and progress to the kind of question that separates a competitive math score from an elite one. The first eight problems are calibrated to roughly easy College Board difficulty — the kind that appears in the first third of the math section. The next ten are medium difficulty: the bread-and-butter of the middle of the test. The final seven push into hard territory, where the question writers add an extra step, hide a sign change, or ask for an unrelated expression after you solve.

Work each question on paper before you look at the worked solution. The solution is there to confirm or correct your work, not to lead you. If you cannot start a problem after 30 seconds, mark it and come back; if you cannot finish after 90 seconds, look at the first line of the solution and try again. That structured exposure to the worked solution — not a glance, not a copy — is the most reliable way to convert a missed question into a permanent skill.

#QuestionDifficultyBand
1 Line L has equation y = 5x - 7). Which of the following is the slope of any line parallel to L? easy 400-500 Open
2 Line L has equation y = 3x + (3). Which of the following is the slope of any line perpendicular to L… easy 400-500 Open
3 Line L has equation y = -3x - 6). Which of the following is the slope of any line parallel to L? easy 400-500 Open
4 Line L has equation y = 1x - 10). Which of the following is the slope of any line perpendicular to L… easy 400-500 Open
5 Line L has equation y = -1x + (1). Which of the following is the slope of any line parallel to L? easy 400-500 Open
6 Line L has equation y = 3x - 1). Which of the following is the slope of any line perpendicular to L? easy 400-500 Open
7 Line L has equation y = -1x + (9). Which of the following is the slope of any line parallel to L? easy 500-600 Open
8 Line L has equation y = -2x - 3). Which of the following is the slope of any line perpendicular to L… easy 500-600 Open
9 Line L has equation y = 3x - 7). Which of the following is the slope of any line parallel to L? medium 500-600 Open
10 Line L has equation y = -1x + (5). Which of the following is the slope of any line perpendicular to … medium 500-600 Open
11 Line L has equation y = -1x + (9). Which of the following is the slope of any line parallel to L? medium 500-600 Open
12 Line L has equation y = -4x + (5). Which of the following is the slope of any line perpendicular to … medium 500-600 Open
13 Line L has equation y = 5x - 10). Which of the following is the slope of any line parallel to L? medium 600-700 Open
14 Line L has equation y = -3x + (2). Which of the following is the slope of any line perpendicular to … medium 600-700 Open
15 Line L has equation y = 2x - 6). Which of the following is the slope of any line parallel to L? medium 600-700 Open
16 Line L has equation y = 4x - 10). Which of the following is the slope of any line perpendicular to L… medium 600-700 Open
17 Line L has equation y = 5x - 7). Which of the following is the slope of any line parallel to L? medium 600-700 Open
18 Line L has equation y = 2x - 1). Which of the following is the slope of any line perpendicular to L? medium 600-700 Open
19 Line L has equation y = 3x + (8). Which of the following is the slope of any line parallel to L? hard 600-700 Open
20 Line L has equation y = -1x + (4). Which of the following is the slope of any line perpendicular to … hard 700-800 Open
21 Line L has equation y = 4x + (8). Which of the following is the slope of any line parallel to L? hard 700-800 Open
22 Line L has equation y = -4x + (6). Which of the following is the slope of any line perpendicular to … hard 700-800 Open
23 Line L has equation y = 3x - 3). Which of the following is the slope of any line parallel to L? hard 700-800 Open
24 Line L has equation y = -2x + (9). Which of the following is the slope of any line perpendicular to … hard 700-800 Open
25 Line L has equation y = 4x + (8). Which of the following is the slope of any line parallel to L? hard 700-800 Open