11) What is the y-intercept of the function that passes through the given coordinates: f(12)=2 and f(15)=3,

The y-intercept is -2

Step-by-step explanation:

Here, we want to find the y-intercept of the function that passes through the given points

The first thing to do here is to get the coordinates of the needed point;

That would be ; (12,2) and (15,3)

It is just like writing f(x) = a ; x would

be x-value while a will be the y-value

The equation of the line passing through the points will be

y = mx + b

where b represents the y-intercept

Let us start by looking at the slope m

m = (y2-y1)/(x2-x1)

m = (3-2)/(15-12) = 1/3

So the line would be;

y = x/3 + b

now to get b, select any of the points, input the x value and the y value

2 = 12/3 + b

2 = 4 + b

b = 2-4

b = -2

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step-by-step explanation: