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A function 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)

A function is represented by the graph Complete the statement by selecting from the dropdown menu The yintercept of the function y2x8 is the yintercept of the f class=

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texaschic101
the y int of the function y = -2x + 8 is 8 or (0,8)....because in y = mx + b form, the b represents the y int.

the graph...the y int is where the line crosses the y axis...and that is (0,8) or 8
facundo3141592

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

  • The y-intercept of the function is y = 8
  • The equation is y = -2*x + 8
  • The line passes through (1, 6) and (5, -2).

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:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

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

[tex]a = \frac{0 - 8}{4 - 0} = -2[/tex]

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:

https://brainly.com/question/13738061

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