The endpoints of
¯¯¯¯¯¯
A
B
AB¯
are
A
(
9
,

4
)

and

B
(
5
,
−
4
)
.
A(9, 4) and B(5,-4).
The endpoints of its image after a dilation are
A
'
(
6
,

3
)

and

B
'
(
3
,

–
3
)
.

A'(6, 3) and B'(3, –3).
Find the scale factor and explain each of your steps.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

529 and 531

step-by-step explanation:

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