Parallel and Perpendicular lines

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

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.

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.

Front

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

Back

The slope of a line parallel to it is also 3.

Front

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

Back

The slope of a line perpendicular to it is -1/3.

Front

What are opposite reciprocals?

Back

Opposite reciprocals are two numbers whose product is -1; for example, 2 and -1/2.

Front

What is the slope of the line y = 4x + 1?

Back

The slope of the line is 4.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line parallel to y = -2x + 3 that passes through the point (1, 2)?

Back

The equation is y = -2x + 4.

Front

What is the equation of a line perpendicular to y = 1/2x - 1 that passes through the point (2, 3)?

Back

The equation is y = -2x + 7.