### PROPORTIONAL KAHOOT:

https://play.kahoot.it/#/k/f5f48c8d-2ea4-451c-ad57-8eb0fa1c2728

**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 we like to write slope like 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!

# SLOPE

Standard

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

For more information on slope click here.

# Practice Problems

# Y – INTERCEPT

Standard

## Y Intercept

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:

#### http://www.mathsisfun.com/equation_of_line.html

# Standard Form of a Linear Equation:

The “Standard Form” for writing down a Linear Equation is

Ax + By = C

**A** shouldn’t be negative, **A** and **B** shouldn’t both be zero, and **A**, **B** and **C** should be integers.

### Example: Put this in Standard Form:

**y = 3x + 2**

Bring 3x to the left:

-3x + y = 2

Multiply all by -1:

3x – y = -2

Note: A=3, B=-1, C=-2

This form:

Ax + By + C = 0

is sometimes called “Standard Form”, but is more properly called the “General Form”.

**ALGEBRA REVIEW KAHOOT:**

https://play.kahoot.it/#/?quizId=8af8cbf5-78da-4760-8b40-ccc70cd54a6e

**Slope Kahoot:**

https://play.kahoot.it/#/k/31ab2ba7-803c-45a4-b504-ccc96ce3ea17

# Y-Intercept Kahoot:

https://play.kahoot.it/#/k/e4aa37b7-7aac-4f4c-9d8c-4fe790b1c78d