Writing equations of parallel and perpendicular lines

Front

What is the slope of a line parallel to the line represented by the equation 3x - y = 2?

Back

The slope of a line parallel to the line represented by the equation 3x - y = 2 is 3.

Front

How do you write the equation of a line in slope-intercept form?

Back

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

Front

What is the slope of a line perpendicular to a line with a slope of 4?

Back

The slope of a line perpendicular to a line with a slope of 4 is -1/4.

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.

Front

If two lines have the same slope, what can be said about their relationship?

Back

If two lines have the same slope, they are parallel.

Front

If two lines have slopes that are negative reciprocals of each other, what can be said about their relationship?

Back

If two lines have slopes that are negative reciprocals of each other, they are perpendicular.

Front

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

Back

Two lines are parallel if their slopes are equal.

Front

How do you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope of the line represented by the equation 2x + y = 3?

Back

The slope of the line represented by the equation 2x + y = 3 is -2.

Front

What is the y-intercept of the line represented by the equation y = 3x + 2?

Back

The y-intercept of the line represented by the equation y = 3x + 2 is 2.