Question

1. match the correct directions to plot the point (4,5).
2. to find 4
3. to find 5

a. go down 4 places on the y - axis
b. go up 4 places on the y - axis
c. go right 4 places on the x - axis
d. go right 5 places on the x - axis
e. go left 4 places on the x - axis
f. go left 5 places on the x - axis
g. go up 5 places on the y - axis
h. go down 5 places on the y - axis

Explanation:

Step1: Understand coordinate system

In a coordinate system, for a point \((x,y)\), \(x\) - coordinate determines horizontal movement (right if \(x>0\), left if \(x < 0\)) and \(y\) - coordinate determines vertical movement (up if \(y>0\), down if \(y < 0\)).
For the point \((4,5)\), the \(x\) - coordinate is \(4\) (positive) and \(y\) - coordinate is \(5\) (positive).

Step2: Match the movements

• For \(x = 4\): We move right \(4\) places on the \(x\) - axis (since \(x>0\)).
• For \(y = 5\): We move up \(5\) places on the \(y\) - axis (since \(y>0\)).

Answer:

1. c (go right 4 places on the \(x\) - axis)
2. g (go up 5 places on the \(y\) - axis)