Parallel and Perpendicular Lines

Front

What is the definition of parallel lines?

Back

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

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of perpendicular lines are negative reciprocals of each other.

Front

If two lines are parallel, what can be said about their slopes?

Back

If two lines are parallel, their slopes are equal.

Front

How do you find the equation of a line parallel to a given line?

Back

To find the equation of a line parallel to a given line, use the same slope as the given line and substitute the coordinates of the point through which the new line passes into the point-slope form of the equation.

Front

What is the slope of the line represented by the equation y = 5x + 7?

Back

The slope of the line y = 5x + 7 is 5.

Front

What is the slope of the line represented by the equation y = -6x - 1?

Back

The slope of the line y = -6x - 1 is -6.

Front

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

Back

The equation is y = 3x - 1.

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

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 + 10.

Front

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

Back

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