Answer:
10
Step-by-step explanation:
<h3><u>Vertex</u></h3>
The <u>x-coordinate</u> of the vertex of a <u>quadratic equation</u> in the form

<u>Given function</u>:


<u>x-coordinate of the vertex</u>

To find the <u>y-coordinate of the vertex</u>, substitute the found value of x into the function:

Therefore, the coordinates of the vertex are (-2, -27).
<h3><u>y-intercept</u></h3>
The y-intercept is when the curve <u>crosses the y-axis</u>, so when x = 0.
To find the y-coordinate of the y-intercept, substitute x = 0 into the function:

Therefore, the coordinates of the y-intercept are (0, -7).
<h3><u>Slope</u></h3>
To find the slope of the line passing through the <u>vertex</u> and the <u>y-intercept</u>, simply substitute the found points into the slope formula:

Therefore, the slope of the line passing through the vertex and the y-intercept of the given quadratic function is 10.
Learn more about slopes here:
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