Graph the image of the given triangle, translated 4 units to the right and 5 units down.

Answer- Follow the attachment attached herewith.

Solution-

As we know if we are moving in left or right, we have to deal with the x - direction or x co-ordinate and if we are moving in up and down , we have to deal with y - direction or y co-ordinate .

If we are moving in right ,we have to add in x co-ordinate and if we are moving left we have subtract from x co-ordinate. Likewise, if we are moving up, we have to add in y co-ordinate and if we are moving down, then we have to subtract from y co-ordinate.

As given in the question, we have move the triangle 4 units right and 5 units down,

The co-ordinate of given triangles'

A = (-1,3)

B = (-5,-3)

C = (2,-1)

∴Then the new co-ordinate will be

A' = (-1+4 , 3-5) = (3,-2)

B' = (-5+4 , -3-5) = (-1,-8)

C' = (2+4 , -1-5) = (6,-6)

your answer would be 10x - 1

linear pair postulates