Slope All Ways

Front

What is the formula to calculate the slope of a line?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

If a line has a slope of 1/2, what does this indicate about the relationship between x and y?

Back

For every 2 units increase in x, y increases by 1 unit.

Front

How do you interpret a negative slope?

Back

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

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope of the line is -3.

Front

How can you determine the slope from a graph?

Back

You can determine the slope by selecting two points on the line, calculating the rise (change in y) and run (change in x), and then using the formula m = rise/run.

Front

What is the rate of change in the context of a real-world application, such as cost per lesson?

Back

The rate of change represents how much the cost changes for each additional lesson taken.