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 are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees); their slopes are negative reciprocals of each other.

Front

How can you determine if two lines are parallel based on their equations?

Back

Two lines are parallel if they have the same slope in their slope-intercept form (y = mx + b).

Front

How can you determine if two lines are perpendicular based on their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

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

Back

The slope of the line is 3.

Front

What is the y-intercept of the line represented by the equation y = 5x + 7?

Back

The y-intercept is 7.

Front

Write the equation of a line parallel to y = 2x + 1 with a y-intercept of -3.

Back

y = 2x - 3.

Front

What is point-slope form of a linear equation?

Back

Point-slope form is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

Convert the point-slope form y + 4 = (3/7)(x + 1) to slope-intercept form.

Back

y = (3/7)x + (3/7) - 4 = (3/7)x - (25/7).

Front

If a line has a slope of -3, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also -3.