Parallel and Perpendicular Equations

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope but different y-intercepts.

Front

What is the definition of perpendicular lines?

Back

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

Front

What is the slope of a line that is perpendicular to y = -6?

Back

The slope of a line perpendicular to y = -6 (a horizontal line) is undefined, which corresponds to a vertical line.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = a, where 'a' is a constant.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = b, where 'b' is a constant.

Front

If two lines have slopes m1 and m2, what condition must they satisfy to be perpendicular?

Back

m1 * m2 = -1.

Front

What are opposite reciprocals?

Back

Opposite reciprocals are two numbers whose product is -1. For example, if one number is a/b, its opposite reciprocal is -b/a.

Front

Solve for y: 2x - 7y = -28

Back

y = (2/7)x + 4.

Front

Solve for y: 5x + 3y = -42

Back

y = (-5/3)x - 14.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.