Parallel and Perpendicular Lines

Front

What is the equation of a line parallel to the x-axis that passes through the point (2, 5)?

Back

y = 5

Front

What is the slope of a line that is perpendicular to a line with a slope of -3?

Back

The slope is \frac{1}{3}.

Front

What is the slope of a line that is parallel to a line with a slope of 4?

Back

The slope is 4.

Front

What do two lines that are perpendicular have in common regarding their slopes?

Back

Their slopes are opposite reciprocals.

Front

What do two lines that are parallel have in common regarding their slopes?

Back

Their slopes are the same.

Front

If a line has a slope of \frac{1}{2}, what is the slope of a line perpendicular to it?

Back

The slope is -2.

Front

What is the slope-intercept form of a line with a slope of 3 that passes through the point (1, 2)?

Back

y = 3x - 1.

Front

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

Back

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

Front

If two lines have slopes of 2 and -\frac{1}{2}, are they parallel, perpendicular, or neither?

Back

They are perpendicular.

Front

What is the equation of a line that is perpendicular to y = 2x + 3 and passes through the point (4, 1)?

Back

y = -\frac{1}{2}x + 3.