To complete the table of values, we need to substitute the given x-values into the equation y = -3x + 4 to find the corresponding y-values:
For x = -4: y = -3(-4) + 4 = 16
For x = -3: y = -3(-3) + 4 = 13
For x = -2: y = -3(-2) + 4 = 10
For x = -1: y = -3(-1) + 4 = 7
For x = 0: y = -3(0) + 4 = 4
For x = 1: y = -3(1) + 4 = 1
For x = 2: y = -3(2) + 4 = -2
Now we can complete the table:
| x | y |
| --- | --- |
| -4 | 16 |
| -3 | 13 |
| -2 | 10 |
| -1 | 7 |
| 0 | 4 |
| 1 | 1 |
| 2 | -2 |
To plot the graph, we will use the given scale of 2cm to 1 unit on both axes.
First, we'll mark the x-axis from -4 to 2, with 2cm spacing between each unit.
Then, we'll mark the y-axis from 16 to -2, with 2cm spacing between each unit.
Now, for each coordinate (x, y), we find the point on the graph by counting the units from the origin and plotting the corresponding point.
The graph of the equation y = -3x + 4 will pass through the following points:
(-4, 16)
(-3, 13)
(-2, 10)
(-1, 7)
(0, 4)
(1, 1)
(2, -2)
Now, connect these points with a line:
|
|
|
^ |
│ |
│ |
│ |
├───┼───┼───┼───┼───┼───
│ │ │ │ │ │ │ │
-4 -3 -2 -1 0 1 2
The graph of y = -3x + 4 is a straight line that passes through these points.
Copy and complete the table of values below for the relations-3x+4:x=-4,-3,-2,-1,0,1,2, Y=-3,-5,....1,...,...,0. Using a scale of 2cm to 1unit on the x-axis and 2cm to 1unit on the y-axis.plot the graph of y-3x+4
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