Chapter 4 Review

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 the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

What does a positive slope indicate about a graph?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, resulting in an upward trend in the graph.

Front

What does a negative slope indicate about a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward trend in the graph.

Front

What does a zero slope indicate about a graph?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in the y-values as the x-values change.

Front

What does an undefined slope indicate about a graph?

Back

An undefined slope indicates that the line is vertical, meaning the x-values do not change as the y-values change.

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 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 y = -2x + 3 to slope-intercept form?

Back

The equation is already in slope-intercept form, where the slope (m) is -2 and the y-intercept (b) is 3.

Front

What is the x-intercept of a function?

Back

The x-intercept is the point where the graph of the function crosses the x-axis, which occurs when y = 0.

Front

How do you find the x-intercept of the equation 2x + 4y = 8?

Back

To find the x-intercept, set y = 0 and solve for x: 2x + 4(0) = 8, so x = 4.