Parallel/Perpendicular

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).

Front

What is the slope of a line that is perpendicular to a line with a slope of 2?

Back

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

Front

How do you determine if two lines are parallel?

Back

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

Front

What is the slope of a line that is parallel to a line with a slope of -3?

Back

The slope of a line that is parallel to a line with a slope of -3 is also -3.

Front

If a line has a slope of 1/4, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to a line with a slope of 1/4 is -4.

Front

What is the general form of the equation of a line?

Back

The general form of the equation of a line is Ax + By + C = 0.

Front

How can you find the equation of a line given a point and a slope?

Back

You can use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the point-slope form of a line?

Back

The point-slope form of a line is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

If two lines have slopes m1 and m2, how can you determine if they are perpendicular?

Back

Two lines are perpendicular if the product of their slopes m1 * m2 = -1.

Front

What is the slope-intercept form of a line?

Back

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