Answer:
-1.5
Step-by-step explanation:
Let L be the third vertex of isosceles triangle JKL.
If JK is the base of this isosceles triangle, then the height drawn from the vertex L divides the base JK into two equal parts.
First, find the coordinates of point O (the midpoint of JK):
[tex]x_O=\dfrac{x_J+x_K}{2}=\dfrac{-6+3}{2}=\dfrac{-3}{2}=-1.5\\ \\y_O=\dfrac{y_J+y_K}{2}=\dfrac{2+2}{2}=2[/tex]
So, O(-1.5, 2)
The third vertex lies on the perpendicular to the base line passing through the point O. This line has the equation x = -1.5. All points lying on this line have x-coordinate of -1.5, thus, the answer is -1.5.
