Parallel and Perpendicular equations

Front

What is the slope of a line that is perpendicular to a line with a slope of \( \frac{1}{2} \)?

Back

The slope of a line that is perpendicular to a line with a slope of \( \frac{1}{2} \) is \( -2 \) (the negative reciprocal).

Front

What is the equation of a line that passes through the point (7,10) and is perpendicular to the line \( y = \frac{1}{2}x - 9 \)?

Back

The equation is \( y = -2x + 24 \).

Front

Are the lines \( y = \frac{1}{2}x + 2 \) and \( y = \frac{1}{2}x - 4 \) parallel, perpendicular, or neither?

Back

They are parallel because they have the same slope of \( \frac{1}{2} \).

Front

What is the equation of a line that is parallel to the graph of \( y = 5x + 7 \) and has a y-intercept at (0, -2)?

Back

The equation is \( y = 5x - 2 \).

Front

What is the relationship between the slopes of two parallel lines?

Back

Two parallel lines have the same slope.

Front

What is the slope of a line that is parallel to a line with a slope of -3?

Back

The slope of a line that is parallel to a line with a slope of -3 is also -3.

Front

Write the equation of the line PARALLEL to the line \( y = 4x - 9 \) that passes through the point (-2, 4).

Back

The equation is \( y = 4x + 12 \).

Front

What is the slope of a line that is perpendicular to a line with a slope of 3?

Back

The slope of a line that is perpendicular to a line with a slope of 3 is \( -\frac{1}{3} \) (the negative reciprocal).

Front

If two lines are perpendicular, what is true about their slopes?

Back

The slopes of two perpendicular lines are opposite reciprocals.

Front

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

Back

The general form is \( Ax + By + C = 0 \).