## Understanding the y-Intercept

#### Aligned To Common Core Standard:

**Grade 8 Functions** - 8.F.B.4

What is a y-Intercept? When discussing straight lines, each and every component of the equation is discussed in detail. In the equation of a straight line, which is y = mx + b; there are 3 different components combined in one equation. One component denotes the slope, one is a variable value and the last component is the y-intercept. Here, m is the slope multiplied by x and b is the y-intercept. But does this little definition of y-intercept makes it clear to you that what is y-intercept? If not, then it is the time to understand the theoretical definition of y-intercept in order to identify it the next time in an equation. In the context of word problems, the y-intercept also refers to the starting value because the x is at zero. This is the point where you start taking the values. When you plot a linear equation on a graph, it is the point where the linear graph crosses the y-axis. At this point in the graph, the y-intercept is the point (x,y) with x=0. The y-intercept is calculated by keeping the value of x equals to zero.

### Printable Worksheets And Lessons

- Danny's Cab Situation
Step-by-Step Lesson- We ask you to write an expression for a
mathematical scenario.

- Guided Lesson
- These are word problems at the next level of thinking that students
will appreciate.

- Guided Lesson Explanation
- There are a number of ways to solve these types of problems. I
share the most simplified forms with you.

- Independent Practice
- More equation based word problems for you to walk through.

- Matching Worksheet - Match the problems to their equation based solution.

#### Homework Sheets

Writing expressions is a prerequisite for this topic.

- Homework 1 - Kelly has to deposit $245 to rent a room and $5 per day charge for a cleaner. Write an expression to calculate the total rent shown by F and number of days by B.
- Homework 2 - At a bakery Harry eats 8 sticky buns in two hours. If he continues at this rate, how many will he eat in 6 hours?
- Homework 3 - Smith is a chip sales person. He gets $50 monthly and $3 per pack of chips sold. Write an equation to show his income.

#### Practice Worksheets

My granddaughter demanded a dancer question in here. You can thank her for sheet 1.

- Practice 1 - John has an ice cream shop. John sold 15 ice creams in one day. If he continues at this rate, how many ice creams will he sell in 6 days?
- Practice 2 - One day Johnny eats 10 burgers in 5 hours. On the second day he eats 12 burgers in 6 hours. How many burgers does Johnny eat in an hour?
- Practice 3 - Fred eats 10 candies every day. Write an equation that shows the relationship between the number of days (x) and the total number of candies (y).

#### Math Skill Quizzes

These quizzes can take some time for students to complete.

- Quiz 1 - Rachel eats 4 mangoes in one hour. Write an equation that shows the relationship between the number of hours (n) and the total number of mangoes (m).
- Quiz 2 - John sold 50 candies in one day. If he continues at this rate, how many candies will he sell in 12 days? Solve an equation to find the answer.
- Quiz 3 - Shelly works in a stationery shop. She sold $40 of stationary over 8 hours. Then, next day, she sold $45 worth over 9 hours. How much money did she earn each hour?