1718 WB1Z CH12 Lesson 5

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 1

Which exercises/theory should I discuss?

Coordinate systems

A coordinate system is created by drawing a horizontal and a vertical axis. The steps on each axis should be equal.

Coordinate systems

The axes can also contain
negative numbers.

The axes intersect each
other at the origin (0, 0)

Coordinate systems

The axes divide the coordinate
system into 4 quadrants.
The axes themselves are NOT
part of the quadrants.

The quadrants are numbered
counterclockwise

first quadrant

second quadrant

third quadrant

fourth quadrant

In which quadrant does
point (-3, 2) lie?

1. first quadrant
2. second quadrant
3. third quadrant
4. fourth quadrant

(-3, 2) lies in the
second quadrant

first quadrant

second quadrant

third quadrant

fourth quadrant

In which quadrant does
point (0, -5) lie?

(0, -5) lies on the vertical axis,
so it lies in none of the
quadrants.

first quadrant

second quadrant

third quadrant

fourth quadrant

Linear formulas

How to make a linear formula from a graph.
1) Make a table, horizontal axis = top row, vertical axis = bottom row, fill in easy to read off points on the graph.
2) Find the start value (value on bottom row when top row = 0)
3) Calculate the gradient (increase in bottom row when the top row increases by 1)
4) Make a formula:
vertical variable = start value + gradient x horizontal variable

Start value = 4
Gradient = 0.8

Formula:
height = 4 + 0.8 x distance
h = 4 + 0.8d

Start value = 7 - 2.5 = 4.5
Gradient = 2.5

Formula:
y = 4.5 + 2.5x

Homework Friday

Make and correct:
25, 26, 27, 28, 29