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Sagot :
Answer:
See below
Step-by-step explanation:
Taking the readings from the graph
- x .... y
- 0 .... 2
- 2 .... 6
- 4 .... 10
- 6 .... 14
Rate of change for the given line is:
- (6 - 2)/2 = 4/2 = 2
- y- intercept is 2
Equation for the line is:
- y = 2x + 2
For the point (40, 76) we can verify with the equation:
- 40*2 + 2 = 82
The point (40, 76) is close the line but the line doesn't pass through it.
Answer:
x | y
0 | 2
2 | 6
4 | 10
6 | 14
Equation of the line is
[tex] \frac{y - 2}{x - 0} = \frac{6 - 2}{2 - 0} \\ \frac{y - 2}{x} = \frac{4}{2} = 2 \\ y - 2 = 2x \\ y - 2x = 2\\ \boxed{y=2x+2}[/tex]
When x=40, y will be (2×40)+2 =82
So the point should pass through (40,82) and not (40,76).
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