Parallel and Perpendicular Equations

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

What are 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

What is the slope of a line in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

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

What is the slope of a line perpendicular to a line with a slope of 3?

Back

The slope of a line perpendicular to a line with a slope of 3 is -1/3.

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 the point through which the new line passes.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

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 slope is m, the other is -1/m.

Front

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

Back

The equation is y = 2x - 5.

Front

Write the equation of a line perpendicular to y = -1/2x + 3 with a y-intercept of 4.

Back

The equation is y = 2x + 4.