Parallel and Perpendicular Lines

Front

What is the slope of a line that is parallel to a line with a slope of 3?

Back

3

Front

Write an equation of a line that is PARALLEL to y = x - 5 and passes through the point (1, -2).

Back

y = x - 3

Front

What type of line does the equation x = 4 represent?

Back

Vertical line

Front

Write the equation of a line PERPENDICULAR to y = -\frac{1}{3}x + 5 that passes through the point (6, 4).

Back

y = 3x - 14

Front

What type of line does the equation y = -3 represent?

Back

Horizontal line

Front

Define parallel lines in terms of slope.

Back

Parallel lines have the same slope and never intersect.

Front

Define perpendicular lines in terms of slope.

Back

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

Front

If a line has a slope of -2, what is the slope of a line that is perpendicular to it?

Back

\frac{1}{2}

Front

What is the general form of the equation of a line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if two lines are parallel using their equations?

Back

If the slopes of the two lines are equal, they are parallel.