Period 5/6 Algebra 1 FLASHCARD Parallel and Perpendicular lines

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form 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 opposite reciprocals.

Front

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

Back

The slope is -1.

Front

If a line has a slope of 3/2, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line is -2/3.

Front

What is the equation of a line that passes through the point (2, 3) and has a slope of 4?

Back

The equation is y = 4x - 5.

Front

How do you find the y-intercept of a line given its equation in slope-intercept form?

Back

The y-intercept is the value of b in the equation y = mx + b.

Front

What is the equation of a line parallel to y = 3/2x + 3?

Back

Any line of the form y = 3/2x + b, where b is any real number, is parallel.

Front

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

Back

The slope is -2.

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.