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

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 =

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.