Lesson 6.5:Writing equations of lines parallel and perpendicular

Front

What is the slope of a line parallel to the line represented by the equation 3x - y = 2?

Back

The slope of a line parallel to 3x - y = 2 is 3.

Front

What is the slope of a line perpendicular to the line represented by the equation 3x + y = 1?

Back

The slope of a line perpendicular to 3x + y = 1 is -\frac{1}{3}.

Front

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

Back

y = 2x - 2.

Front

Write the equation of a line perpendicular to y = -\frac{1}{2}x + 3 that passes through the point (2, 5).

Back

y = 2x + 1.

Front

What is the general form of the equation of a line?

Back

The general form of the equation of a line is Ax + By + C = 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 as m = \frac{y2 - y1}{x2 - x1}.

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

Write the equation of a line that is vertical and passes through the point (4, 5).

Back

x = 4.

Front

Write the equation of a line that is horizontal and passes through the point (3, -2).

Back

y = -2.