Algebra Flashcard 4.10: Writing Parallel & Perpendicular Equations

Front

What is the slope of a line parallel to a line with slope m = 4?

Back

The slope of a line parallel to m = 4 is also 4.

Front

What is the slope of a line perpendicular to a line with slope m = 5/8?

Back

The slope of a line perpendicular to m = 5/8 is -8/5.

Front

What is the equation of a line that passes through the point (0, -4) and is perpendicular to the line y = -\frac{3}{2}x + 1?

Back

The equation is y = \frac{2}{3}x - 4.

Front

What is the slope of a line parallel to the line y = 2x - 7?

Back

The slope is 2.

Front

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

Back

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

Front

Define parallel lines in terms of slope.

Back

Parallel lines have the same slope.

Front

Define perpendicular lines in terms of slope.

Back

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

Front

What is the negative reciprocal of 4?

Back

The negative reciprocal of 4 is -\frac{1}{4}.

Front

If a line has a slope of -3, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also -3.

Front

If a line has a slope of \frac{1}{2}, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is -2.