Parallel and Perpendicular Slopes and Line Equations

Front

What is the slope of a line parallel to y=3x+1?

Back

The slope is 3.

Front

What are the slopes of parallel lines?

Back

The slopes of parallel lines are the same.

Front

What is the slope of a line perpendicular to y=2x-7?

Back

The slope is -1/2.

Front

What are the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

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

Back

They are parallel.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

If two lines have slopes m1 and m2, when are they parallel?

Back

They are parallel if m1 = m2.

Front

If two lines have slopes m1 and m2, when are they perpendicular?

Back

They are perpendicular if m1 * m2 = -1.

Front

What does it mean for slopes to be opposite reciprocals?

Back

If one slope is m, the other slope is -1/m.

Front

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

Back

The slope is -4.