Perpendicular Lines

Front

What is the definition of perpendicular lines?

Back

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

Front

How do you find the slope of a line from its equation in standard form?

Back

To find the slope from an equation in standard form (Ax + By = C), rearrange it into slope-intercept form (y = mx + b) where m is the slope.

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 m, the other line's slope will be -1/m.

Front

What is the slope of a line perpendicular to a line with a slope of 3?

Back

The slope of a line perpendicular to a line with a slope of 3 is -1/3.

Front

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

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the slope of a line perpendicular to the line represented by the equation y = 4x + 2?

Back

The slope of a line perpendicular to y = 4x + 2 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

How can you find the equation of a line given a point and the slope?

Back

You can use the point-slope form of the equation: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the slope of a line perpendicular to the line represented by the equation -x + 3y = 6?

Back

First, convert to slope-intercept form: 3y = x + 6, so y = (1/3)x + 2. The slope is 1/3, so the perpendicular slope is -3.

Front

What is the slope of a line perpendicular to the line y = -5x + 4?

Back

The slope of a line perpendicular to y = -5x + 4 is 1/5.