A line segment is drawn from (1, 9) to (4, 9) on a coordinate grid.
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Answer:
The point A will be (-8,14) or (-8,-10).
Step-by-step explanation:
Point B has coordinates (1,2) and the x-coordinate of point A is - 8.
Let us assume that the coordinates of point A are (-8,k).
Now, given that the point A is 15 units apart from point B.
Therefore, from the distance formula, we can write that
Now,squaring both sides, we get
⇒
⇒ 2 - k = ± 12
⇒ k = 14 or -10.
Therefore, the point A will be (-8,14) or (-8,-10). (Answer)
We know that the distance between two points on the coordinate plane () and (
) is given by
.