Question

Plot two points that are 3units from Point C and also share the same y-coordinate as Point C.

Answer 1

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).