Write the equation of a line parallel to $$5x + 2y = 1$$ that passes through the point (-2, -3).

The equation is $$y = -\frac{5}{2}x - 8$$ .

Write the equation of a line perpendicular to $$y = -2x + 1$$ that passes through the point (2, 3).

The equation is $$y = \frac{1}{2}x + 2$$ .

What is the slope of the line represented by the equation $$3x + y = 1$$ ?

To find the slope, rewrite in slope-intercept form: $$y = -3x + 1$$ , so the slope is -3.

Write the equation of a line through the points (4, 5) and (12, 9).

The equation is $$y = \frac{1}{2}x + 3$$ .

How do you convert the standard form of a line $$Ax + By = C$$ to slope-intercept form?

Solve for y: $$y = -\frac{A}{B}x + \frac{C}{B}$$ .

Write the equation of a line perpendicular to $$y = \frac{1}{3}x - 9$$ that passes through the point (-6, 10).

The equation is $$y = -3x - 8$$ .

What is the formula for the point-slope form of a line?

The point-slope form is $$y - y1 = m(x - x1)$$ , where m is the slope and (x1, y1) is a point on the line.

What does it mean for two lines to be perpendicular?

Two lines are perpendicular if they intersect at a right angle (90 degrees).

CM:Ch 6 test review (Linear eq) Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the slope of a line perpendicular to a line with a slope of -2?

Back

2.

FLASHCARD QUESTION

Front

What is the equation of a line in slope-intercept form?

Back

3.

FLASHCARD QUESTION

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

4.

FLASHCARD QUESTION

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope.

5.

FLASHCARD QUESTION

Front

What is the relationship between perpendicular lines in terms of slope?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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