Math homework due tomorrow
1 answer:
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Answer:
The function is f(x) = x +
Step-by-step explanation:
The point-slope form of a linear function is , where
- m is the slope of the graph (rate of change)
- (
,
) is a point on the line (the line passes through it)
∵ The function has a rate of change
- The rate of change is the slope of the graph
∴ m =
∵ The graph is passes through point (4 , 10.5)
∴ = 4 and
= 10.5
Substitute m and the coordinates of the point in the form of the equation
∵
∴ y - 10.5 = (x - 4)
Simplify the right hand side
∴ y - 10.5 = (x) -
(4)
∴ y - 10.5 = x - 6
Add 10.5 to both sides
∴ y = x + 4.5
∵ 4.5 =
∴ y = x +
∵ y = f(x)
∴ f(x) = x +
The function is f(x) = x +