Slope Mixed Review

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'rise over run'.

Front

What does 'rise over run' mean in the context of slope?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

Front

How do you calculate 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 is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

If a line passes through the points (2, 4) and (5, 10), what is the slope?

Back

The slope is 2, calculated as (10 - 4) / (5 - 2).

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

How do you find the y-intercept of a linear equation in the form y = mx + b?

Back

The y-intercept is the value of y when x = 0, which is represented by the constant b in the equation.

Front

What is the y-intercept of the equation 3y = 6x + 12?

Back

To find the y-intercept, set x = 0: 3y = 12, so y = 4. The y-intercept is 4.