Parallel and Perpendicular Equations

Front

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

Back

The general form of the equation of a line is Ax + By + C = 0, where A, B, and C are constants.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

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

Front

How do you find the slope of a line from its equation in slope-intercept form?

Back

In slope-intercept form (y = mx + b), the slope is represented by 'm'.

Front

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

Back

The slope of a line parallel to y = 2x + 3 is 2.

Front

What is the slope of a line that is perpendicular to the line y = 5x - 4?

Back

The slope of a line perpendicular to y = 5x - 4 is -1/5.

Front

How do you write the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the slope of the line represented by the equation 4y = 8x + 16?

Back

The slope of the line is 2, after converting to slope-intercept form.

Front

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

Back

The slope of a line perpendicular to it would be -1/3.

Front

What is the equation of a line that passes through the origin with a slope of 4?

Back

The equation is y = 4x.