Parallel Perpendicular Slopes and Equations

Front

What is the slope-intercept form of a linear equation?

Back

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

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 relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are the same.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

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

Back

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

Front

Write an equation in slope-intercept form that is parallel to y = 4x + 1 and passes through the point (2, 3).

Back

y = 4x - 5.

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 the slope of a line is 0, what type of line is it?

Back

A line with a slope of 0 is a horizontal line.

Front

If the slope of a line is undefined, what type of line is it?

Back

A line with an undefined slope is a vertical line.