**SLOPE = m**

## Steps to calculate slope:

- In order to calculate slope you need……. 2 PERFECT POINTS. Write them down.
- Once you have the 2 points/ordered pairs you can find the slope formula on the…… STAAR CHART. Write the formula down.
- Now you MUST LABEL your 2 perfect points. ***Remember it is (x, y) the x value is 1st
- Now that your points are labeled you can PLUG IN or substitute your numbers in the formula.
- You can solve using your…… CALCULATOR.
- If you get a decimal and want a fraction use your calculator and push the MATH button then ENTER and ENTER again and your answer should be in fractions form.

## Steps to calculate slope using only the graphing calculator

Other things you should know about SLOPE: Slope is a RATE, that means it happens again and again and again (multiple times, M). It is the ratio that explains how steep a line is. When you think of steepness think of a hill. The steeper the hill the harder it would be to walk up it. The harder to walk up the hill the greater the slope.

**Example: The RED line is steeper than the blue line. It would be harder to walk on. If you look at the y= equations on the right you can also see the slope of the RED line is greater than the slope of the BLUE line.**

– Love Ya’ll!!! Mrs. Molina 🙂

**Y-Intercept = b**

## Steps to find the y-intercept:

- Use your eyes and follow the line on the graph.
- Notice where the lines touches or meets the y-axis ( the one that goes up and down)
- The y value at this location is the y- intercept.

Example: The y-intercept (b) = 1

**Unit Rate and Slope**

**Unit Rate** and **Slope** are almost the EXACT SAME THING.

The ONLY difference is that Slope is just a number and Unit Rate must have a description with it.

Example:

# PYTHAGOREAN THEOREM

The Pythagorean Theorem states that, * in a right triangle, *the two smaller squares made from the triangles legs add up to equal the biggest square made from the hypotenuse.

The lengths of the legs are commonly labeled as **a** and **b** and the hypotenuse length is labeled as **c**.

REMEMBER:

**HYPOTENUSE: c** is the **longest side** of the triangle

**LEGS: a** and **b** are the other two sides

**Click here to find the missing hypotenuse , here to find the missing leg, here to find the perimeter, here to do real world problems, and here to see if the triangle is a right triangle or not. You will use the Pythagorean Theorem online and get automatic feedback (it grades it)! 🙂**

## What is the Pythagorean Theorem?

In short the Pythagorean Theorem can be explain with the formula below.

## a^{2} + b^{2} = c^{2}

AGAIN, THIS IS ONLY TRUE FOR **RIGHT TRIANGLES**!

Here are other examples:

Click here to find the missing hypotenuse , here to find the missing leg, here to find the perimeter, here to do real world problems, and here to see if the triangle is a right triangle or not. You will use the Pythagorean Theorem online and get automatic feedback (it grades it)! 🙂