Writing Equations of parallel and perpendicular lines

Front

What is the slope of two parallel lines?

Back

The slope of two parallel lines is the same.

Front

What is the slope of two perpendicular lines?

Back

The slopes of two perpendicular lines are opposite reciprocals.

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

What is the slope of a line perpendicular to y = 2x - 7?

Back

The slope is -1/2.

Front

Are the lines y = 2x + 3 and y = 2x - 5 parallel, perpendicular, or neither?

Back

They are parallel.

Front

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

Back

The slope of the perpendicular line is -1/3.

Front

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

Back

The general form is Ax + By + C = 0.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

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

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.