Writing Perpendicular lines

Front

What are 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 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 slope of a line perpendicular to the line represented by the equation y = 3x + 4?

Back

The slope of the perpendicular line is -1/3.

Front

How do you find the equation of a line perpendicular to a given line?

Back

To find the equation of a line perpendicular to a given line, first find the negative reciprocal of the slope of the given line, then use the point-slope form of the equation to write the new line's equation.

Front

What is the slope of a line perpendicular to a line with a slope of -5/8?

Back

The slope of a line perpendicular to a line with a slope of -5/8 is 8/5.

Front

If two lines are parallel, what can you say about their slopes?

Back

If two lines are parallel, their slopes are equal.

Front

What is the slope of the line represented by the equation y = -2x + 1?

Back

The slope of the line is -2.

Front

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

Back

The equation is y = 1/2x + 2.

Front

Are the lines y = 2x + 3 and y = -1/2x - 1 parallel, perpendicular, or neither?

Back

They are perpendicular.