Answer:
A. 6
Step-by-step explanation:
Segment AB is on the line y = 2 and is 3 units long.
Point C is on the line x = −1.
FIND:
If the area of ΔABC is 6 square units, then find a possible y-coordinate of point C.
SOLUTION:
Area of a triangle = 1/2 b * h
segment AB is a horizontal line
the base of our triangle and point C is somewhere on the height.
If we can find the height of the triangle, we can add or subtract that height from y = 2 to get the possible y coordinate of point C.
We know that the x coordinate is -1 so,
6 = 1/2 (3) h
12 = 3h
h = 4
we can either add 4 or subtract 4 to the y coordinate of 2 to get the possible y coordinate of point C.
option 1
2 + 4 = 6 so the coordinate for C could be (-1, 6) or
option 2
2 - 4 = -2 so the coordinate for C could also be (-1, -2).
Since -2 is not in our choices but 6.
therefore,
the answer would be A. 6
