parallel and perpendicular lines

Front

What is the equation of a line that is perpendicular to the x-axis?

Back

The equation of a line that is perpendicular to the x-axis is of the form x = a, where 'a' is a constant.

Front

What is the slope of a line parallel to y = mx + b?

Back

The slope of a line parallel to y = mx + b is 'm'.

Front

What is the slope of a line perpendicular to y = mx + b?

Back

The slope of a line perpendicular to y = mx + b is -1/m.

Front

If two lines have the same slope, what can we say about them?

Back

If two lines have the same slope, they are parallel.

Front

If two lines have slopes that are negative reciprocals of each other, what can we say about them?

Back

If two lines have slopes that are negative reciprocals of each other, they are perpendicular.

Front

What is the slope of the line y = 2x - 5?

Back

The slope of the line y = 2x - 5 is 2.

Front

What is the slope of the line -3x + 4y = 12?

Back

To find the slope, rewrite in slope-intercept form: y = (3/4)x + 3, so the slope is 3/4.

Front

What does it mean for two lines to be parallel in terms of their equations?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What does it mean for two lines to be perpendicular in terms of their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

Write the equation of a line that is parallel to y = -x + 4 and passes through the point (1, 2).

Back

The equation is y = -x + 3.