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 but different y-intercepts.

Front

What are 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

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

Back

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

Front

What is the slope of the line y = 3x - 8?

Back

The slope of the line is 3.

Front

What is the negative reciprocal of 3?

Back

The negative reciprocal of 3 is -1/3.

Front

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

Back

y + 1 = -1/2(x - 4).

Front

Write the equation of a line perpendicular to y = 5x - 3 that passes through (-3, -9).

Back

y + 9 = -1/3(x + 3).

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

Front

What is the relationship between the slopes of perpendicular lines?

Back

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

Front

Determine if the lines with equations y = 5x + 4 and y = 5x - 7 are parallel, perpendicular, or neither.

Back

They are parallel because they have the same slope (5).