Afunction is represented by the graph. complete the statement by selecting from the drop-down menu. the y-intercept of the function y=−2x+8 is the y-intercept of the function represented in the graph. a graph with a line running through point (1,6) and point (5, -2)

We want to complete each statement by analyzing the given graph.

So first we want to get the y-intercept, we know that the y-intercept is the y-value at which the function intercepts the y-axis, by looking at the graph we can see that the y-intercept is y = 8.

Then we want to see the equation of the line.

Remember that a general line is y = a*x + b

Where a is the slope and b is the y-intercept, so we know that:

y = a*x + 8

To get the slope, we know that if a line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:

Here we know that the line passes through (0, 8) and (4, 0), then the slope is:

So the equation of the line is:

y = -2*x + 8

And with that equation, we can see that yes, the line passes through the points (1, 6) and (5, -2)

If you want to learn more, you can read:

link

step-by-step explanation:

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