2TTO Ch 1 Linear formulas PTI 24-25

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 2

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Ch 1 Linear formulas

s = 15 - 3a
Is this a linear formula? How do you know?

s = 15 - 3a
The starting value/y-intercept is

1. 15
2. -3a
3. s
4. 3a

consecutive means

1. afnemend
2. stijgend
3. consequent
4. opeenvolgend

Formula:
d = -2c +10.
The corresponding graph is

1. rising
2. falling
3. horizontal
4. vertical

When the gradient in a linear formula is positive (f.e. y = 4x -5), the corresponding graph is:

Time to do your HW

draw with pencil

use your geo-triangle

Ch 1.2 Formulas for lines

Check your worksheet

Gradient and y-intercept

Checked & corrected?

Hand in (with NAME.....)

Continue with HW

Enjoy!!

Homework: 

Evaluation

Sketch  y = 3 x + 2

Questions?

1.3 Sketching a line for a formula

Which graph is of a

real linear formula?

recap

Questions homework?

explanation making a formula

Formula: y = 3x -5

The y-intercept is:

1. 3
2. 3x
3. 5
4. -5

k = 15x + 34

The gradient is

1. 15
2. 15x
3. 34
4. there is none

The general form of a linear formula is:

Homework: 

Time for your HW

Evaluation

Do you know:

> how to find the y-intercept?

> how to calculate the gradient (slope/(helling))?

> the general form of the formula for a straight line?

1.5 Directly proportional

1 pair of socks costs 2 euros

2 pairs cost.....

0 pair ??

Questions regarding HW?

Directly proportional

= recht evenredig

Explanation MW link

Theory

Directly proportional when:

(note in notebook)

> a straight line that passes through

    the ORIGIN (0,0)

> it has to be a RATIO TABLE

Time to work

1.4 directly proportional 

Directly proportional when:

(note in notebook)

> a straight line that passes through

    the ORIGIN (0,0)

> it has to be a RATIO TABLE

Is this formula directly proportional?

why (not)?

Is this formula directly proportional?

why (not)?

Is this formula directly proportional?

why (not)?

HW: 

Check your answers!

Time to work:

Extra explanation?

Evaluation

1.6 Line through TWO points

How to find the formula?

Step 1) Write down the regular form of the formula:

y= a x + b

Step 2) Make a quick drawing of the two points.

Step 3) Calculate the gradient

4) Fill in x and y in the formula and calculate b (= y-intercept)

Step 5) Write down the final formula

1.5 Line through TWO points (part 2)

How to find the formula?

Step 1) Write down the regular form of the formula:

y= a x + b

Step 2) Make a quick drawing of the two points.

Step 3) Calculate the gradient

Step 4) Fill in x and y in the formula and calculate b (= y-inercept)

Step 5) Write down the final formula

Recap

Explanation Wiswereld

Parallel lines have the same GRADIENT!!