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A small business earns a profit of $6500 in January and $17,500 in May. What is the y-intercept?

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Trihextidn

Answer:

Step-by-step explanation:

We are given two points. We can assume that January is the 1st month, and May is the fifth month. We can create two coordinate points to reflect this.

(1, 6500) -- > representing January

(5, 17500) -- > representing May

Let us solve for the slope, as to find the y-intercept we need to first create a linear equation with the form y = mx + b, where b is the y-intercept and m is the slope.

Slope = [tex]\frac{17 500 - 6 500 }{5 - 1} = 2750[/tex]

y = 2750x + b

We can substitute a known x and y value to find the intercept.

6500 = 2750(1) + b

3750 = b

Our y-intercept is 3750 dollars.

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