parellel and perpendicular lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet and have the same slope.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees) and have slopes that are negative reciprocals of each other.

Front

How can you determine if two lines are parallel from their equations?

Back

Two lines are parallel if their slopes are identical.

Front

How can you determine if two lines are perpendicular from their equations?

Back

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

Front

What does the slope (m) represent in the equation of a line (y=mx+b)?

Back

The slope (m) represents the rate of change of y with respect to x, indicating the steepness of the line.

Front

What does the y-intercept (b) represent in the equation of a line (y=mx+b)?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

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

Back

The slope of a line parallel to it would also be 3.

Front

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

Back

The slope of a line perpendicular to it would be -1/2.

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.

Front

How do you convert the equation of a line from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.