Graphing Linear Functions



Slope-Intercept Form
Page 1 Page 2 Page 3 Page 4 Page 5
        
           
Lesson #4: What is Slope-Intercept Form?

Now that we've learned about starting points and rates of change, it's time to learn about how to plug those things into a linear function.

y=mx+b where y is the output, x is the input, m is the slope or rate of change, and b is the y-intercept or starting point

Two things we need to keep in mind,
- Slope and Rate of Change can be used interchangeably. The slope measures the steepness of a linear equation.
- y-intercept is the point where the graph crosses the y-axis, which is the starting point.

So, going back to our example from Lessons 2 and 3,


Example #1:
You decide to begin a savings account where you will deposit $10 every week. To open a savings account, your local bank requires an initial deposit of $50.

We identified:
- Starting point/y-intercept = 50
- Rate of Change/slope = 10

Therefore, the equation for this line would be:
 
y=10x+50     


                                 When you are ready to move on, go to the next page.

Click here to go to Next Page