Parallel and Perpendicular Equations

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the rise over run, or the change in y divided by the change in x.

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. This means that one line's slope is the negative reciprocal of the other's.

Front

Write an equation of a line that passes through the point (2, 4) and is parallel to the line y = -2x + 6.

Back

y = -2x + 8

Front

What is the slope of a line that is perpendicular to y = 3x + 1?

Back

-1/3

Front

Write an equation of a line that passes through the point (-3, 5) and is perpendicular to the line y = 2x - 1.

Back

y = -0.5x + 3.5

Front

What is the slope of a line that is perpendicular to 4y = -8x + 12?

Back

-2

Front

What is the slope of a line that is parallel to y = 4x - 2?

Back

4

Front

How do you find the slope of a line given 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 standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.