Unit 3 Mixed Review- Slope, Slope-intercept

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in y (rise) over the change in x (run).

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 does a zero slope indicate?

Back

A zero slope indicates a horizontal line where there is no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where there is no change in x as y changes.

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

If a line has a slope of 12 and a y-intercept of 10, what is the equation of the line in slope-intercept form?

Back

y = 12x + 10.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

Find the slope given the points (2, −7) and (−1, 6).

Back

Slope = (6 - (-7)) / (-1 - 2) = 13 / -3 = -13/3.

Front

What is the y-intercept of the line represented by the equation y = 2x + 3?

Back

The y-intercept is 3.