Parallel and perpendicular lines 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 two perpendicular lines are negative reciprocals of each other.

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.

Front

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

Back

The slope of a line perpendicular to it 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

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope of the line is -4.

Front

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

Back

The equation is y - 1 = 3(x - 1) or y = 3x - 2.

Front

Write the equation of a line that is perpendicular to y = 1/2x - 3 and passes through the point (2, 2).

Back

The equation is y - 2 = -2(x - 2) or y = -2x + 6.

Front

What is the slope of the line y = 5?

Back

The slope of the line is 0, as it is a horizontal line.

Front

What is the slope of the line x = -3?

Back

The slope of the line is undefined, as it is a vertical line.