MM3 WU 12/10

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the ratio of the rise (change in y) over the run (change in x).

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, meaning they are opposite reciprocals.

Front

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

Back

The slope of a line perpendicular to a line with slope 3 is -1/3.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is given by 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

The slope m is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 5x + 2?

Back

The slope of the line is 5.

Front

What is the y-intercept of the line represented by the equation y = -2x + 4?

Back

The y-intercept of the line is 4.

Front

Write the equation of a line parallel to y = 1/2x + 3 that passes through the point (2, 5).

Back

The equation is y = 1/2x + 4.

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are identical.