Answer:
Step-by-step explanation:
By definition, any point (<em>x, y</em>) on the parabola is equidistant from the focus and the directrix.
The distance between a point (<em>x, y</em>) on the parabola and the focus can be described using the distance formula:
Simplify:
Since the directrix is an equation of <em>y</em>, we will use the <em>y-</em>coordinate. The vertical distance between a point (<em>x, y</em>) on the parabola and the directrix can be described using absolute value:
The two equations are equivalent. Therefore:
Solve for <em>y</em>. We can square both sides. Since anything squared is positive, we can remove the absolute value:
Expand:
Isolate:
Divide both sides by -10. Hence, our equation is:
Measure the distance between the two end points, and divide the result by 2. This distance from either end is the midpoint of that line. Alternatively, add the two x coordinates of the endpoints and divide by 2. Do the same for the y coordinates.
The answer is the first one. I am pretty sure.
Answer:
<u>-2/-3.</u>
Step-by-step explanation:
Oh, this is easy!!
You need to find a point on the graph where it hits perfectly, for example, (2,-4), then use (-1,2).
Then use slope formula (y^2 - y^1/x^2 - x^1).
Plug in the X's and Y's.
Then, do 2 - (-4), and -1 - 2.
<u>You'd get -2/-3 :) </u>
(im not sure if im right, but i hope this helped!)