Y - Intercept
Shifting a proportional function
We have already explored the first idea of linear functions, rate of change. Now we are going to look into another important concept, the y-intercept.
What is the rate of change in the function above? Write the equation of this proportional function.
Move the slider to the right.
Pay attention to the coordinates as you move the slider. What happens to them? Try to be as detailed as possible, and use complete sentences.
What is the rate of change in the function above? Write the equation of this proportional function.
Move the slider to the right. How did the graph change? The coordinates?
Writing an Equation?
We came up with the equation of this line when it was proportional. Try to think of a way we can modify that equation to take into account that the graph moved after we manipulated the slider.
Again your goal is to come up with the equation of the line after it moved.
When you think that you have it, try typing the equation below and seeing if you are correct.
Write the equation of the proportional function above?
move the slider to the left. How did the graph change? Coordinates?
Try to come up with the new equation. When you think that you have it, try your answer in the app below.
