For this case we have by definition, that the equation of a line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cutoff point with the y axis
We need two points through which the line passes to find the slope:
We found the slope:
So, the equation is of the form:
We substitute a point to find "b":
Finally, the equation is:
Answer:
Option C
Given that the quadratic equation is
We need to determine the y - value of the vertex.
<u>The x - value of the vertex:</u>
The x - value of the vertex can be determined using the formula,
where
Substituting these values, we get;
Simplifying the terms, we get;
Thus, the x - value of the vertex is -5.
<u>The y - value of the vertex:</u>
The y - value of the vertex can be determined by substituting the x - value of the vertex ( x = -5) in the equation
Thus, we get;
Simplifying the values, we have;
Thus, the y - value of the vertex is 49.