Equations of Parallel and Perpendicular Lines

Front

What is the slope of a line parallel to the line with slope m = 3?

Back

The slope of a line parallel to m = 3 is also 3.

Front

What is the slope of a line perpendicular to the line with slope m = 2?

Back

The slope of a line perpendicular to m = 2 is -1/2 (opposite reciprocal).

Front

Are the lines y = 2x + 3 and y = 2x - 5 parallel?

Back

YES, they have the same slope of 2.

Front

Are the lines y = -1/3x + 4 and y = 3x - 2 perpendicular?

Back

YES, their slopes are -1/3 and 3 (opposite reciprocals).

Front

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

Back

y = 4x - 2.

Front

What is the slope of the line represented by the equation y = -5x + 7?

Back

The slope is -5.

Front

If two lines have slopes of 1/2 and -2, are they perpendicular?

Back

YES, their slopes are opposite reciprocals.

Front

What is the slope of a line parallel to the line with slope m = -4?

Back

The slope of a line parallel to m = -4 is also -4.

Front

Are the lines y = 3x + 1 and y = -1/3x + 2 parallel?

Back

NO, they have different slopes.

Front

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

Back

y = -2x + 10.