Since all the options are in the slope intercept form, we find the equation using the formula,
We can find m, the slope using the formula,
On substitution,
We use any of the points, say (-2,-3) to determine the value of c.
The equation is therefore,
The correct answer is D.
Check the picture below.
keeping in mind that the point of tangency for a radius line and a tangent is alway a right-angle, since the "red" chord is parallel to the "green" tangent line outside, then the chord is cutting the "green" radius there in two equal halves at a right-angle, as you see in the picture.
we know the chord is 10 units long, so 5 + 5, since is perpendicularity with the radius will also cut the chord in two equal halves.
anyhow, all that said, we end up with triangle you see on the right-hand-side, and then we can just use the pythagorean theorem.
The answer is 10x^4 - 2x ^3