Parallel and Perpendicular Lines
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered
Used 1+ times
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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Answer explanation
The slope of the given line is -1/4. A parallel line has the same slope. Using point-slope form, y - 3 = -1/4(x + 2) simplifies to y = -1/4x + 11/2, matching the correct answer.
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Answer explanation
The slope of the given line is \(\frac{3}{5}\). The slope of a line perpendicular to it is the negative reciprocal, \(-\frac{5}{3}\). Using the point-slope form with point \((0, 2)\), the equation is \(y = -\frac{5}{3}x + 2\).
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Answer explanation
The slope of the given line is 7. A parallel line has the same slope. Using the point (2, -5) in the point-slope form, we find the equation: y + 5 = 7(x - 2) simplifies to y = 7x - 19.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Answer explanation
The slope of the given line is \(\frac{1}{2}\). The slope of a perpendicular line is the negative reciprocal, \(-2\). Using point-slope form with point \((4, 0)\), we find the equation is \(y = -2x + 8\).
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Answer explanation
The slope of the given line is -3. A parallel line has the same slope. Using the point (5, -2), we can find the y-intercept: -2 = -3(5) + b, which gives b = -17. Thus, the equation is y = -3x - 17.
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Answer explanation
The slope of the given line is 4. The slope of a perpendicular line is the negative reciprocal, which is -1/4. Using the point-slope form with point (-3, 5), we find the equation is y = -1/4x + 23/4.
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Answer explanation
The slope of the given line is \(\frac{2}{3}\). A parallel line has the same slope. Using the point-slope form, we find the equation: \(y - 1 = \frac{2}{3}(x - 6)\), which simplifies to \(y = \frac{2}{3}x - 3\).
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