Parallel & Perpendicular Lines

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 vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

Write the equation of a line parallel to y = 3x + 2 that passes through the point (1, 4).

Back

The equation is y = 3x + 1.

Front

Write the equation of a line perpendicular to y = rac{1}{2}x - 3 that passes through the point (2, 1).

Back

The equation is y = -2x + 5.

Front

What is the relationship between the slopes of two parallel lines?

Back

The slopes of two parallel lines are equal.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The product of the slopes of two perpendicular lines is -1.

Front

Identify the slope of the line given by the equation y = -4x + 7.

Back

The slope is -4.