Parallel Lines

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet. They are always the same distance apart and have the same slope.

Front

If two lines are parallel, what can be said about their slopes?

Back

If two lines are parallel, their slopes are equal.

Front

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

Back

The slope of the line is 2.

Front

What slope is parallel to m = 3/4?

Back

The slope parallel to m = 3/4 is also 3/4.

Front

How do you determine if two lines are parallel from their equations?

Back

Convert both equations to slope-intercept form (y = mx + b) and compare their slopes. If the slopes are equal, the lines are parallel.

Front

What is the slope of the line represented by the equation 2x + 3y = 18?

Back

The slope of the line is -2/3.

Front

Which of the following lines is parallel to y = 5/7x + 2?

Back

The line y = 5/7x + 5 is parallel to y = 5/7x + 2.

Front

What is the slope of a line that is parallel to a line with a slope of -1/2?

Back

The slope of the parallel line is also -1/2.

Front

If a line has a slope of 7, what is the slope of a line parallel to it?

Back

The slope of the parallel line is also 7.

Front

What is the equation of a line parallel to y = 3x + 1 that passes through the point (2, 5)?

Back

The equation of the parallel line is y = 3x - 1.