Today, we looked at equations in a different form using

*.***Grapher****Part 1:**

Algebraically, solving equation

*x +*8 = 9 will give us*x*= 1In

*, the same equation looks like this***Grapher**Observation:

**The answer of the equation is shown by the line that cuts across the x axis in the graph. This line is parallel to the y axis.**

We conclude that

the

**solution of an equation (with one unknown) can be represented as a vertical line, cutting the***x*axis at the value found when the equation is solved algebraically.If we were to change the variable

*x*to

*y*, the equation becomes

*y*/3 - 2 = 0:

**The answer would now be represented by a horizontal line cutting across the y axis at 6.**

**This line is also parallel to the x axis.**

**Part 2:**

Given the three equations:

- 20
*x*– 100 = 0 - 2(
*x –*7) = –4 - (5
*x -*11)/7 = 2

When we solve these 3 questions, they all resulted in the same value of

*x,*which is 5.Graphically, we get

We observe that

**T**

**he lines generated by the 3 equations overlap each other because all have the same value**, 5.

Hence these equations are known as

**equivalent equations**.*Follow-up: Complete the Exploration worksheets and hand-in by the end of the day.*

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