Equations of Parallel and Perpendicular Lines Review

Front

What is the relationship between the slopes of two lines that are perpendicular to each other?

Back

The slopes of two lines that are perpendicular to each other are negative reciprocals of each other.

Front

How do you calculate the slope of a line given two points?

Back

The slope (m) is 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 slope of a line parallel to the line represented by the equation y = mx + b?

Back

The slope of a line parallel to the line represented by the equation y = mx + b is the same as m.

Front

How can you determine if two lines are parallel by looking at their equations?

Back

Two lines are parallel if they have the same slope (m) in their slope-intercept form (y = mx + b).

Front

What is the slope of the line represented by the equation 5x + 2y = 8?

Back

To find the slope, convert to slope-intercept form: 2y = -5x + 8, so y = (-5/2)x + 4. The slope is -5/2.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = (1/2)x - 5?

Back

The slope of the line is 1/2.

Front

How do you identify the slope from a linear equation in standard form (Ax + By = C)?

Back

To find the slope from standard form, rearrange the equation into slope-intercept form (y = mx + b) and identify m.

Front

What is the slope of a line parallel to the line represented by the equation y = 2x - 7?

Back

The slope of a line parallel to y = 2x - 7 is 2.

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.