Parallel and Perpendicular Slopes

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line, and is calculated as the change in y divided by the change in x (rise over run).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect, regardless of how far they are extended.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle (90 degrees).

Front

How do you find the slope from two points?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

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

Back

A line parallel to a line with a slope of 2 will also have a slope of 2.

Front

If a line has a slope of -3, what is the slope of a line perpendicular to it?

Back

A line perpendicular to a line with a slope of -3 will have a slope of 1/3, since the product of the slopes must equal -1.

Front

What is the slope of the line represented by the equation y = 4x + 5?

Back

The slope of the line is 4.

Front

Given the points (1, 2) and (3, 6), what is the slope of the line connecting them?

Back

The slope is (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What is the y-intercept of the line y = -1/2x + 3?

Back

The y-intercept is 3, which is the value of y when x = 0.