Equations of Parallel and Perpendicular Lines

Front

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

Back

The slope is 2.

Front

What is the slope of a line perpendicular to y = 3x - 1?

Back

The slope is -1/3.

Front

Identify the condition for two lines to be parallel.

Back

Two lines are parallel if they have the same slope.

Front

Identify the condition for two lines to be perpendicular.

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the equation of a line parallel to y = -4x + 6 that passes through (1, 2)?

Back

y = -4x + 10.

Front

What is the equation of a line perpendicular to y = 5x + 1 that passes through (2, 3)?

Back

y = -1/5x + 4.

Front

If two lines are represented by y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

If two lines are represented by y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept of the line.

Front

Write the equation of a line that is parallel to y = 2x + 1 and passes through (0, 4).

Back

y = 2x + 4.

Front

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

Back

y = x.