Question

the point (4,5) is translated two units left and eight units down. what is the y-coordinate of the image?

Answer 1

The new coords are (2,-3) the new y coord is -3

Answer 2

Answer:

$(2,-3)$

Step-by-step explanation:

Point of the form $\left ( x,y \right )$ means it is at a distance of x units from x - axis and y units from y - axis .If this point is translated a units left and b units down then new point becomes $\left ( x-a,y-b \right )$

If this point is translated a units left and b units up then point becomes $\left ( x-a,y+b \right )$

If this point is translated a units right and b units down then point becomes $(x+a,y-b)$

If this point is translated a units right and b units up then point becomes $(x+a,y+b)$

Given Point: $\left ( 4,5 \right )$

If this point is translated 2 units left and 8 units down then this point becomes $(4-2,5-8) = (2,-3)$