Line segment ab is formed by point a(5, -1) and
b(3,4). ben translates this line segment to the right
by 3 units. find the new coordinates of the endpoints
of the translated line segment a'b'. label the new
points appropriately.

The new coordinates of the endpoints AB are A'(8,-1) and B'(6,4)

Step-by-step explanation:

we know that

The rule of the translation by the line segment AB is

(x,y)> (x+3,y)

we have

A(5,-1) and B(3,4)

Applying the rule of the translation to each ordered pair

Coordinates of point A

A(5,-1) > A'(5+3,-1)

A(5,-1) > A'(8,-1)

Coordinates of point B

B(3,4) > B'(3+3,4)

B(3,4) > B'(6,4)

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get