**Slope Intercept Form: y = mx + b**

The variable m is the slope, it explains the steepness of a line of how slanted the line is.

The variable b is the y-intercept, this is where the line crosses or intersects the y-axis.

https://www.desmos.com/calculator

http://www.shmoop.com/video/slope-intercept-form/

**Slope: m**

- Rise is how far up
- Run is how far along

For more information on slope click here.

# Practice Problems

TEST YOUR SELF ON LINES HERE!!!!

https://my.hrw.com/wwtb/api/viewer.pl

## Here is a video of slope as a rate of change.

**Y Intercept: b**

Y intercept is where a straight line crosses the Y axis of a graph.

### Example:

In the above diagram the line crosses the Y axis at 1.

So the Y intercept is equal to 1.

For more information on intercepts click here.

## Practice Problems

**Slope Intercept Form**

**y = mx + b**

**m** = Slope (how steep the line is)

**b** = the Y Intercept (where the line crosses the Y axis)\

### How do you find “m” and “b”?

- b is easy: just see where the line crosses the Y axis.
- m (the Slope) needs some calculation. Remember to write slope as a fraction.

## Example 1)

The fastest and easiest thing to find first when looking at a graph is the y-intercept (b).

Here we see that the line crosses the y-axis at positive 1.

So, b = 1 .

Now to find the slope (m) we will use rise over run:

- Rise is how far up
- Run is how far along

In this example the rise is 2 and the run is 1.

So, m = 2/1 .

Now that I know **m = 2/1** and **b = 1 **I can plug them into the equation for slope intercept form **y = mx + b.**

y = (2/1) x + 1

^^^^^ This is the equation of the line.

For more information on y = mx + b click here.

# Practice Problems

Get your Slope Intercept on!