Unit 3 Mixed Review- Slope, Slope-intercept

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) divided by the change in x (run).

Front

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

Back

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

Front

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

Back

-13/3

Front

Find the slope given the points (3, 4) and (6, 8).

Back

4/3

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

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where 'a' is the x-coordinate of any point on the line.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = b, where 'b' is the y-coordinate of any point on the line.

Front

Evaluate f(-2) if f(x) = x + 3.

Back

1

Front

What is the rate of change in a linear function?

Back

The rate of change is the same as the slope of the line, indicating how much y changes for a unit change in x.