Point p’(-6,-4) is the image point p(-2,3) under translation t. what is the image of (5,-1) under the same translation

(1, - 8 )

Step-by-step explanation:

We have P(- 2, 3 ) → P'(- 6, - 4 )

The image coordinates are 4 less than the original x- coordinate and 7 less than the original y- coordinate, thus the translation rule is

T : (x, y ) → (x - 4, y - 7 ), thus

(5, - 1 ) → (5 - 4, - 1 - 7 ) → (1, - 8 )

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

step-by-step explanation:

the answer is 128