Represent on the graph by linear equations
(a) y=3x
(b) y=-2x
(c) y=4-3x
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Represent on the graph by linear equations
(a) y=3x
(b) y=-2x
(c) y=4-3x
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Here are the linear equations and their representations on the graph:
(a) Equation: y = 3x
This equation represents a straight line with a slope of 3 (meaning for every increase of 1 in x, y increases by 3). The line passes through the origin (0,0) since there's no y-intercept.
Graph of y = 3x:
```
|
|
| /
| /
| /
| /
| /
|/
+------------------
0 1 2 3
```
(b) Equation: y = -2x
This equation represents a straight line with a slope of -2 (meaning for every increase of 1 in x, y decreases by 2). The line also passes through the origin (0,0).
Graph of y = -2x:
```
|
|
|\
| \
| \
| \
| \
| \
+------------------
0 1 2 3
```
(c) Equation: y = 4 - 3x
This equation represents a straight line with a slope of -3 (meaning for every increase of 1 in x, y decreases by 3). The line intersects the y-axis at y = 4 (the y-intercept).
Graph of y = 4 - 3x:
```
4 | /
| /
| /
| /
| /
| /
| /
0 +------------------
| 1 2 3
```
These are the graphical representations of the given linear equations.