Derive the equation of the locus of all points whose distance to the point F(-5,4) is half the distance to the line y = -4. Leave your answer in general form.
Derive the equation of the locus of all points whose distance to the point F(-5,4) is half the distance to the line y = -4. Leave your answer in general form.
Distance from a point requires the distance formula.
If points are (a,b), then the distance is: $\displaystyle \sqrt{(a-(-5))^{2}+(b-4)^{2}}$
Distance from the line y = -4 is simply b - (-4)
A little algebra and you're done. Do you recognize it with a familiar name??