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The coefficients of the linear equation are:
- Rate of change = 4.2
- Initial value = 3.8
This means that the correct options are B and E.
<h3><u>How we can find the linear equation?</u></h3>
First, a general linear equation is written as:
y = a*x + b
Where a is the rate of change (also called slope) and b is the y-intercept (also called initial value).
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), then the rate of change is given by:
In this case, we know that the line passes through:
(1, 8) and (1.5 , 10.1)
Then the rate of change is:
So the line is something of the form:
y = 4.2*x + b
To find the value of b we can use one of the given points, I will use (1, 8).
This means that when x =1, we have y = 8, replacing that we get:
8 = 4.2*1 + b
8 - 4.2 = b
3.8 = b
So we have:
- Rate of change = 4.2
- Initial value = 3.8
Then the correct options are:
B and E.
If you want to learn more about linear equations, you can read: