If triangle ABC is reflected over the y-axis which points will be their own image?

Point B

Step-by-step explanation:

From the graph attached,

Coordinates of point A are (4, -1)

Coordinates of point B → (0, 3)

Coordinates of point C → (-2, 0)

When a point (x, y) is reflected over y-axis coordinates of the image follow the rule,

(x, y) → (-x, y)

Following the same rule,

Coordinates of A' → (-4, -1)

Coordinates of B' → (0, 3)

Coordinates of C' → (2, 0)

Therefore, coordinates of point B and B' remain the same.

Point B will same as its own image.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18