Writing Parallel and Perpendicular Equations of Lines.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

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

Front

If a line has a slope of 2, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also 2.

Front

If a line has a slope of 3/4, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is -4/3.

Front

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

Back

y = 2x - 5.

Front

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

Back

y = \frac{1}{2}x + 2.

Front

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

Back

The slope is 2.

Front

What is the slope of the line y = -3x + 4?

Back

The slope is -3.

Front

If two lines have slopes of 1/2 and -2, are they parallel, perpendicular, or neither?

Back

They are perpendicular.

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 = (y2 - y1) / (x2 - x1).