(05.03 lc)

what is the initial value of the function represented by this graph? (1 point)

a coordinate grid is shown with x- and y-axes labeled from 0 to 7 at increments of 1. a straight line joins the ordered pair 0, 2 with the ordered pair 5, 0.

0

2

3

5

2

Step-by-step explanation:

Let's find the function first. We know that the function join the points (0, 2) and (5, 0) with a line, so we have a linear function. We need to find the slope of the line joining those two points using the slope formula:

where

is the slope of the line

are the coordinates of the first point

are the coordinates of the second point

Our first point is (0, 2), so and ; our second point is (5, 0), so and . Replacing the values:

Now that we have the slope of our line, we can use the point-slope formula to complete our function:

where

is the slope

are the coordinates of the first point

Replacing values:

Now, the initial value of our function is the value at , so:

We can conclude that the initial value of the function is 2.

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