## Interpreting Slope and Intercept

#### Aligned To Common Core Standard:

**Grade 8 Statistics & Probability** - 8.SP.A.3

How to find the Slope and Intercept of a line?
When we are learning concepts in the co-ordinate geometry, the slope and y-intercept hold are the first ones that we come across. These are the two most important elements of a graphical line.
**Slope** -
The slope is the measure of the steepness of a line. It is the ratio that is determined as rise over run. Two parallel lines have the same slope, and the slope of two perpendicular lines are negative reciprocals of each other.
**Y-intercept** -
The y-intercept is the point at which the line cuts the vertical or y-axis.
An equation of a straight line is;
y=mx+c
Here, "m" is the slope, and "c" is the y-intercept.
**Method 1: Using the Graph**
You can use the graph to calculate the slope and y-intercept. Take two pairs of co-ordinates to calculate the slope.
The formula to calculate slope is;
m=(y_2-y_1)/(x_2-x_1 )
Simply substituting the coordinates in the formula will help you calculate the slope of the line.
For y-intercept, you analyze the graph and see where the graph cuts the y-axis.
**Method 2: Using the Equation**
When you use the formula to calculate the slope, you can then use the equation of the straight line to calculate the y-intercept.
You substitute the value of m by the slope you calculate, choose a pair of coordinates on the line and substitute the variables x and y with the coordinates. It will help you calculate the y-intercept.
Students quickly learn with these worksheets and lessons on how to use slope and y-intercept data to better understand data sets and linear equations.

### Printable Worksheets And Lessons

- Make a Scatter Gram
Step-by-Step Lesson- This is a very basic one just to get the
ground work started for kids.

- Guided Lesson -
Graph a function, calculate slope, and make another scatter gram
while you're at it!

- Guided Lesson Explanation
- I find this skill to just be a culmination of skills that kids
have learned earlier in the Core.

- Independent Practice
- Three pages of sheer practice. After finishing this your students
should have a good handle on the concept.

- Slope of a Line Five
Pack - We give you two points that are on a line; tell us the
slope of that line.

- Find the Intercepts Five
Pack - Find the x and y intercept of these lines.

- Matching Worksheet - Find the slope of the graphs.

#### Homework Sheets

Making scatter grams, graphing functions, and calculating slope.

- Homework 1 - The table below displays the data of apples eaten by Travis in a week. Make a scatter gram of this data.
- Homework 2 - We make up values for x and in the process we calculate the value of y.
- Homework 3 - We find that two points on the line are (4,6) and (2, 2). Now we will put the points in slope formula.

#### Practice Worksheets

Time to create your own data charts from collected data.

- Practice 1 - The table below displays the upcoming results of class 8th. It displays the number of students in each group.
- Practice 2 - Make graph using this function: y = x + 8
- Practice 3 - Calculate the slope of the graph.

#### Math Skill Quizzes

A similar set of skills is tested here. The scatter grams are fun and helpful.

- Quiz 1 - We are given the inventory data of a cell phone shop. You have to make a scatter plot according to the data of the cell phones and cell phone boxes.
- Quiz 2 - Determine the slope of the line that passes through the points - (-11,6), (5,-5)
- Quiz 3 - Find the slope of any graph on this section.