Parallel and Perpendicular equations

Front

What is the slope of two parallel lines?

Back

The slope of two parallel lines is the same.

Front

What is the slope of two perpendicular lines?

Back

The slope of two perpendicular lines are opposite reciprocals.

Front

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

Back

y = -1/2x + 4.5

Front

If the slope of a line is 4, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line is -1/4.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they never intersect and have the same slope.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle (90 degrees) and their slopes are opposite reciprocals.

Front

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

Back

The slope of the parallel line is -2.

Front

What is the equation of a line that passes through the point (0, 0) and has a slope of 3?

Back

y = 3x.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.