Parallel and Perpendicular lines

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other. If one line has a slope of m, the other line's slope will be -1/m.

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope but different y-intercepts.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope of a line that is perpendicular to a line with a slope of 2 is -1/2.

Front

Write the equation of a line parallel to y = 3x + 4 that passes through the point (2, 5).

Back

The equation is y = 3x - 1.

Front

Write the equation of a line perpendicular to y = -1/2x + 3 that passes through the point (4, 2).

Back

The equation is y = 2x - 6.

Front

What is the slope of the line represented by the equation y = 5x + 2?

Back

The slope of the line is 5.

Front

Are the lines y = 2x + 1 and y = 2x - 3 parallel, perpendicular, or neither?

Back

They are parallel because they have the same slope.