Parallel and perpendicular line equations review

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

How do you determine if two lines are parallel based on their equations?

Back

Two lines are parallel if their slopes are equal.

Front

How do you determine if two lines are perpendicular based on their slopes?

Back

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

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

Find the slope of the line that passes through (1, -19) and (-2, -7).

Back

The slope is -4.

Front

Convert the equation 12x - 4y = -20 to slope-intercept form.

Back

The slope-intercept form is y = 3x + 5.

Front

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

Back

The equation is y = (-3/5)x + 2.

Front

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

Back

The slope of the perpendicular line is -1/2.

Front

What is the slope of the line represented by the equation y = 4x + 3?

Back

The slope is 4.