Interpreting Slope - Wangen

Front

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

Back

The slope represents the rate of change between the two variables plotted on the graph.

Front

If a line has a slope of 2, what does this mean in a real-world context?

Back

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

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

In the context of a graph showing distance vs. time, what does a positive slope indicate?

Back

A positive slope indicates that the distance is increasing over time.

Front

In a graph showing cost vs. quantity, what does a slope of $5 per item mean?

Back

For each additional item purchased, the total cost increases by $5.

Front

What does a negative slope indicate in a graph?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

How can you interpret a slope of 0 in a graph?

Back

A slope of 0 indicates that there is no change in the y-variable as the x-variable changes.

Front

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

Back

The y-intercept represents the value of y when x is 0.

Front

If a graph shows a slope of 12, what does this imply in a practical scenario?

Back

It implies that for every unit increase in the x-variable, the y-variable increases by 12 units.

Front

What is the significance of the slope in a graph representing speed vs. time?

Back

The slope indicates the acceleration of the object.