An object is translated by (x + 4, y - 2). if one point in the image has the coordinates (5, -3), what would be the coordinates of its pre-image? (9, -5) (1, -5) (9, -1) (1, -1)

(1,-1)

Step-by-step explanation:

A translation of (x,y) ⟶ (x + 4, y – 2) means that the coordinates of the pre-image have moved four units to the right and two units down.

To get the coordinates of the pre-image rom the image, we must reverse the procedure.

That is, we must go two units up and four units to the left.

The coordinates of Point P' are (5, -3), so those of P must have been (1, -1).

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4