Parallel, Perpendicular, or Neither??

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They are always the same distance apart and have the same slope.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of two perpendicular lines are negative reciprocals of each other.

Front

What does it mean for two lines to be neither parallel nor perpendicular?

Back

Two lines are neither parallel nor perpendicular if they intersect at an angle that is not 90 degrees and do not maintain a constant distance apart.

Front

How can you determine if two lines are parallel using their equations?

Back

Two lines are parallel if their slopes are equal. For example, in the slope-intercept form y = mx + b, if m1 = m2, the lines are parallel.

Front

How can you determine if two lines are perpendicular using their equations?

Back

Two lines are perpendicular if the product of their slopes is -1. If one line has a slope of m1, the other must have a slope of m2 such that m1 * m2 = -1.

Front

What is the slope-intercept form of a line?

Back

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

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, and A should be non-negative.

Front

How do you convert from slope-intercept form to standard form?

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to get all terms involving x and y on one side and the constant on the other.

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. It represents the value of y when x = 0.

Front

What is a negative reciprocal?

Back

A negative reciprocal of a number is obtained by taking the reciprocal of the number and changing its sign. For example, the negative reciprocal of 2 is -1/2.