Perpendicular Lines

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

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

Back

The slopes of two perpendicular lines are negative reciprocals of each other. If one line has a slope of m, the other line's slope will be -1/m.

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 a line with a slope of 3 is -1/3.

Front

What is the slope of a line perpendicular to the line represented by the equation y = 2x + 5?

Back

The slope of a line perpendicular to y = 2x + 5 is -1/2.

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

What is the slope of a line perpendicular to the line y = -4x + 3?

Back

The slope of a line perpendicular to y = -4x + 3 is 1/4.

Front

If a line has a slope of -2, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to a line with a slope of -2 is 1/2.

Front

What is the equation of a line that is perpendicular to y = 3x + 1 and passes through the point (2, 5)?

Back

The equation is y = -1/3x + 7/3.

Front

What is the slope of a line perpendicular to the line represented by the equation 5x + 2y = 10?

Back

First, convert to slope-intercept form: y = -5/2x + 5. The slope of the perpendicular line is 2/5.

Front

What is the slope of a line perpendicular to the line y = 1/4x - 2?

Back

The slope of a line perpendicular to y = 1/4x - 2 is -4.