Parallel and Perpendicular lines

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning their slopes are negative reciprocals of each other.

Front

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

Back

The slope of a line that is perpendicular to a line with a slope of 3 is -1/3.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope of the line is -2.

Front

Which of the following lines is parallel to y = 4x + 1? y = 4x - 3, y = -4x + 1, y = 2x + 1

Back

y = 4x - 3 is parallel to y = 4x + 1.

Front

What is the y-intercept of the line y = 1/2x + 3?

Back

The y-intercept is 3.

Front

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

Back

Yes, because the product of their slopes (2 * -1/2) equals -1.

Front

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

Back

The equation is y = 5x - 2.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.