powepoint related to linear equations in two variables

1. Linear Equation
in Two Variables
By
RUTH B. SIAPNO
MATH TEACHER

2. Linear Equation
in Two Variables
By
RUTH B. SIAPNO
MATH TEACHER

3. LINEAR EQUATION
IN THE REAL
WORLD
Suppose you went to the canteen to buy snacks
and each item costs ₱10.
• How much will you pay if you picked 2
items?
• How much will you pay if you picked 3
items?
• If the sequence continues, determine
the cost.

4. Complete the table below
showing the cost of items
bought in the canteen
No of
items
bought
1 2 3 4 5 x
Cost of
items(Y)
10 Y=?

5. Answer the following
questions:
• What is the cost of each snack in the canteen?
• Explain in your own words how the cost of snacks is
determined in the canteen.
• Can you interpret the statement "each item costs ₱10"
in the context of buying snacks?

6. Answer the following
questions:
If you buy 5 snacks, what would
be the total cost?
Apply the information to calculate
the cost of 3 snacks.
Compare the cost of buying 2
snacks versus buying 4 snacks.
What differences do you observe?

7. Answer the following
questions:
Can you buy 8 snacks if you only have ₱60.? Why
What were the two quantities that show relation in the situation?
Which one is dependent variable? Which is the independent
variable?
What equation best describes the
situation?

8. Using GeoGebra plot the
points of the ordered
pairs in the table

9. What is
Linear
Equation in
two
Variables?

10. Linear Equation in Two Variables
An equation is said to be linear
equation in two variables if it is
written in the form of ax + by + c=0,
where a, b & c are real numbers
and the coefficients of x and y, i.e a
and b respectively, are not equal to
zero.

11. Example

12. Graph of Linear Equation

13. Difference between Linear Equation from other Non-Linear Eq.

14. Evaluating Linear
Equation in Two Variables
Given: y = 2x + 1 Find the value of Y
when x ={-2,-1,0,1,2}
Y=2x+1
Y= 2(-2) + 1
Y=-4 + 1
Y= -3
Y=2x + 1
Y=2(-1) + 1
Y= -2 + 1
Y= -1

15. Writing Linear Equation in table of values
x -2 -1 0 1 2
y -3 -1
List of ordered pairs of y=2x+1
(-2,-3) (-1,-1) (0, ) ( 1, ) ( 2, )