Equations of Parallel and Perpendicular Lines

Front

Back

Front

Write the equation of a line in slope-intercept form.

Back

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines 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

Front

Determine if the lines y = 3x + 1 and y = 3x - 4 are parallel.

Back

YES, because they have the same slope of 3.

Front

Determine if the lines y = -1/2x + 2 and y = 2x - 3 are perpendicular.

Back

YES, because the product of their slopes (-1/2 and 2) is -1.

Front

What is the slope of the line y = -4x + 7?

Back

The slope of the line is -4.

Front

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

Back

Front

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

Back

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