Test Reteach for 8.F.4

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

What is the formula for calculating slope?

Back

Slope (m) = (change in y) / (change in x) or m = (y2 - y1) / (x2 - x1).

Front

In the context of a graph, what does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate in a graph?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

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

Back

The slope is 3.

Front

How do you interpret the slope in a real-world context?

Back

The slope can represent a rate, such as cost per item or speed.

Front

What does a slope of zero mean in a graph?

Back

A slope of zero means that the line is horizontal, indicating no change in y as x changes.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is zero; it represents the starting point of the line on the y-axis.

Front

How can you find the slope from a table of values?

Back

Calculate the change in y divided by the change in x between two points.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is (7 - 3) / (4 - 2) = 4 / 2 = 2.