Parallel and Perpendicular equations

Front

What is the definition of parallel lines in terms of slope?

Back

Parallel lines have the same slope.

Front

How do you determine if two lines are parallel using their equations?

Back

Two lines are parallel if their slopes are equal.

Front

What is the equation of a line parallel to y = mx + b?

Back

The equation of a line parallel to y = mx + b is y = mx + c, where c is a different y-intercept.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other.

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

Front

How can you find the equation of a line parallel to a given line that passes through a specific point?

Back

Use the slope of the given line and the point to write the equation in point-slope form, then convert to slope-intercept form.

Front

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

Back

The slope of the line is 4.

Front

What is the y-intercept of the line y = -3x + 5?

Back

The y-intercept is 5.

Front

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

Back

The slope is calculated as (y2 - y1) / (x2 - x1).

Front

What is the general form of the equation of a line?

Back

The general form of the equation of a line is Ax + By + C = 0.