Front

What is the definition of a perpendicular line?

Back

A perpendicular line is one that intersects another line at a right angle (90 degrees).

Front

How do you determine if two lines are parallel?

Back

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

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

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 midpoint of a line segment?

Back

The midpoint M of a segment connecting points (x1, y1) and (x2, y2) is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the formula for the distance between two points?

Back

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

How can you identify if two lines are neither parallel nor perpendicular?

Back

Two lines are neither parallel nor perpendicular if their slopes are different and do not satisfy the perpendicular condition.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

What does it mean for lines to be parallel in terms of their slopes?

Back

Lines are parallel if they have identical slopes, meaning they rise and run at the same rate.