Parallel and Perpendicular Equations

Front

What is the slope of a line that is perpendicular to a line with a slope of \( \frac{2}{3} \)?

Back

The slope of the perpendicular line is \( -\frac{3}{2} \).

Front

In the equation \( y = mx + b \), what does 'm' represent?

Back

'm' represents the slope of the line.

Front

Write the equation of a line that passes through the point (-9, 2) and is perpendicular to the line \( y = 3x - 12 \).

Back

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

Front

Are the lines \( y = \frac{-2}{7}x + 4 \) and \( y = \frac{7}{2}x - 3 \) parallel?

Back

False.

Front

What is the slope of a line that is perpendicular to a line with a slope of \( -\frac{1}{7} \)?

Back

The slope of the perpendicular line is \( 7 \).

Front

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

Back

The slopes of two parallel lines are equal.

Front

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

Back

The product of the slopes of two perpendicular lines is \( -1 \).

Front

If a line has a slope of 4, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line is \( -\frac{1}{4} \).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is \( y = mx + b \), where 'm' is the slope and 'b' is the y-intercept.

Front

If two lines have slopes of \( \frac{1}{2} \) and \( \frac{1}{2} \), are they parallel or perpendicular?

Back

They are parallel.