find the y-coordinats of the points that are 10 units away from the point (-1,6) that have an x-coordinate of 7.

Answer 1

y = 0 or 12, the points (7,0) and (7,12) are 10 units from (-1,6)

construct the equation of a circle with center (-1,6) and radius 10

(x+1)^2 + (y-6)^2 = 10^2

plug in x=7 and solve for y

(7+1)^2 + y^2 -12y + 36 = 100

y^2 -12y = 100-36-64 = 0

y(y-12) = 0

y=0 or 12