2-4 Parallel and Perpendicular Lines Review

Front

What is the slope of a line perpendicular to a line with slope \( m \)?

Back

The slope of a line perpendicular to a line with slope \( m \) is \( -\frac{1}{m} \).

Front

Write the equation of a line in slope-intercept form.

Back

The equation of a line in slope-intercept form is given by \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

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 opposite reciprocals.

Front

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

Back

The equation is \( y = 3x - 1 \).

Front

Identify the slope of the line represented by the equation \( 4x - 2y = 8 \).

Back

The slope is \( 2 \).

Front

What is the slope of a line parallel to the line whose equation is \( -2x + y = -7 \)?

Back

The slope is \( -2 \).

Front

Determine if the lines \( y = 2x + 3 \) and \( y = 2x - 5 \) are parallel, perpendicular, or neither.

Back

The lines are parallel because they have the same slope of \( 2 \).

Front

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

Back

The equation is \( y = 2x - 1 \).

Front

What is the slope of the line represented by the equation \( 5x + 6y = 12 \)?

Back

The slope is \( -\frac{5}{6} \).