Slope Ch. 3 Review

Front

What is the slope of a line?

Back

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

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is zero, leading to division by zero.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0 because there is no change in y as x changes.

Front

How do you interpret a slope of 1/2?

Back

A slope of 1/2 means that for every 2 units you move to the right (increase in x), you move up 1 unit (increase in y).

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you convert the equation 4x + 3y = 9 to slope-intercept form?

Back

To convert, solve for y: 3y = -4x + 9, then y = -4/3x + 3.

Front

What does the term 'rise' refer to in slope calculations?

Back

'Rise' refers to the vertical change between two points on a line.