Answer:
The possible y-coordinate of point C is 6
Step-by-step explanation:
The coordinate of a point is given by (x,y) where x is the horizontal distance from the origin on the x axis and y is the vertical distance from the origin.
Given Segment AB is on the line y = 2 and is 3 units long and Segment AB is on the line y = 2 and is 3 units long. The area of triangle ABC is 6 square units.
The area of a triangle = 1/2 × base × height
6 = 1/2 × 3 × height
height = (2 × 6) / 3 = 4 units
Since point C is perpendicular to line y = 2, they coordinates is either 2 + 4 = 6 or 2 - 4 = -2
The coordinate of point C is either (-1, 6) or (-1, -2)
