Writing equations of parallel and perpendicular lines

Front

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

Back

-\frac{1}{2}

Front

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

Back

y = \frac{1}{2}x + 2

Front

What do two lines that are perpendicular have in common regarding their slopes?

Back

Their slopes are opposite reciprocals.

Front

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

Back

y = 2x - 5

Front

What is the slope of a line that is parallel to the line represented by the equation y = 2x - 7?

Back

2

Front

If the slope of a line is 3, what is the slope of a line that is perpendicular to it?

Back

-\frac{1}{3}

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

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = \frac{y2 - y1}{x2 - x1}.

Front

What is the slope of a line that is parallel to the line represented by the equation y = -\frac{1}{2}x + 4?

Back

-\frac{1}{2}

Front

If a line has a slope of 0, what type of line is it?

Back

A horizontal line.