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

What is the slope of a line parallel to the line represented by the equation y = 3x + 1?

Back

The slope of a line parallel to y = 3x + 1 is 3.

Front

Write the equation of a line parallel to y = -2x + 4 that passes through the point (2, 3).

Back

y = -2x + 7.

Front

What is the relationship between the slopes of two parallel lines?

Back

The slopes of two parallel lines are equal.

Front

If a line has a slope of 5, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also 5.

Front

Write the equation of a line parallel to y = rac{1}{2}x - 3 that passes through the point (4, 1).

Back

y = rac{1}{2}x - 1.

Front

What is the slope of the line represented by the equation 4x + 2y = 8?

Back

The slope is -2.

Front

Write the equation of a line parallel to y = 4x + 1 that passes through the point (0, -3).

Back

y = 4x - 3.

Front

If two lines are parallel, what can be said about their y-intercepts?

Back

Their y-intercepts can be different; only their slopes must be the same.

Front

Write the equation of a line parallel to y = -rac{3}{4}x + 2 that passes through the point (1, 0).

Back

y = -rac{3}{4}x + rac{3}{4}.