Parallel and Perpendicular lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope.

Front

What is the slope of parallel lines?

Back

The slopes of parallel lines are the same.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

What is the slope of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other.

Front

How do you find the slope of a line given two points?

Back

Use the formula: slope (m) = (y2 - y1) / (x2 - x1).

Front

What is slope-intercept form?

Back

Slope-intercept form is an equation of a line written as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you write an equation of a line parallel to a given line?

Back

Use the same slope as the given line and the point it passes through to find the y-intercept.

Front

What is the equation of a line that is perpendicular to y = 3x + 2?

Back

The slope of the perpendicular line is -1/3, so the equation can be written as y = -1/3x + b.

Front

If two lines have slopes of 2 and -1/2, are they parallel, perpendicular, or neither?

Back

They are perpendicular because their slopes are negative reciprocals.

Front

What is the y-intercept of the line y = 4x + 5?

Back

The y-intercept is 5.