Writing equations of parallel and perpendicular lines

Front

What is the slope of two perpendicular lines?

Back

The slopes of two perpendicular lines are opposite reciprocals of each other.

Front

What is the slope of two parallel lines?

Back

The slopes of two parallel lines are equal.

Front

How do you determine if two lines are parallel, perpendicular, or neither?

Back

Compare the slopes of the lines: if they are equal, the lines are parallel; if their product is -1, they are perpendicular; otherwise, they are neither.

Front

Write the equation of a line parallel to y = 2x + 3 that passes through the point (3, 1).

Back

The equation is y = 2x - 5.

Front

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

Back

The equation is y = \frac{1}{2}x + 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.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle (90 degrees) and their slopes are opposite reciprocals.

Front

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

Back

The slope of a line perpendicular to it would be -\frac{1}{3}.

Front

If the slope of a line is -\frac{1}{4}, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it would also be -\frac{1}{4}.

Front

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

Back

The slope m is calculated as m = \frac{y2 - y1}{x2 - x1}.