The two points at a distance of 3 units from C with the same y coordinate are (-3, -5) and (-9, -5).
Step-by-step explanation:
Step 1:
First, we must plot the point C on the graph. Point C is on the third quadrant so the x value and the y value are negative.
The coordinate of C is (-6, -5).
We need to plot two points that are 3 units away from point C but have the same y coordinate i.e. y = -5.
Step 2:
So assume the two other points are A and B.
The y coordinates of A and B are -5. Only the x coordinate varies. So in order to get the coordinates of point A and B, we add and subtract 3 from the x coordinate of point C.
Point A = (-6+3, -5) = (-3,-5).
Point B = (-6-3, -5) = (-9, -5).
So two points at a distance of 3 units from C with the same y coordinate are (-3, -5) and (-9, -5).
