Parallel and Perpendicular Equations

Front

What is the slope of linear equations that are parallel to one another?

Back

The slopes of parallel linear equations are equivalent.

Front

What is the slope of linear equations that are perpendicular to one another?

Back

The slopes of perpendicular linear equations are opposite and reciprocal.

Front

Write an equation of a line parallel to y = 4x + 7.

Back

y = 4x - 7 (same slope, different y-intercept).

Front

Write an equation of a line perpendicular to y = 5x - 3.

Back

y = -1/5x + 22 (negative reciprocal of the slope).

Front

What is the slope of a line perpendicular to the line 8x + y = 12?

Back

1/8 (the negative reciprocal of the slope 8).

Front

Define parallel lines in terms of slope.

Back

Parallel lines have the same slope but different y-intercepts.

Front

Define perpendicular lines in terms of slope.

Back

Perpendicular lines have slopes that are negative reciprocals of each other.

Front

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

Back

3 (same slope for parallel lines).

Front

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

Back

-1/3 (negative reciprocal of the slope).

Front

What is the general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.