1.5 Writing Equations Parallel and Perpendicular Lines MAKE UP

Front

What is the slope of a line parallel to y = 2x + 3?

Back

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

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if their slopes are opposite reciprocals.

Front

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

Back

y = 3x - 1.

Front

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

Back

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

Front

If two lines have the same slope, what can be said about them?

Back

If two lines have the same slope, they are parallel.

Front

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

Back

The general form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the y-intercept of a line given its equation?

Back

The y-intercept can be found by setting x = 0 in the equation of the line.

Front

What does it mean for two lines to be neither parallel nor perpendicular?

Back

Two lines are neither parallel nor perpendicular if their slopes are different and not opposite reciprocals.

Front

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

Back

y = -2x + 9.

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.