Identify the reflection of the figure with vertices h(17,34), i(−5,10), and j(28,−14) across the line y=x.

B

Step-by-step explanation:

Under a reflection in y = x

a point (x, y) → (y, x)

Given

H(17, 34 ) → H'(34, 17)

I(- 5, 10) → I'(10, - 5)

J(28, - 14) → J'(- 14, 28)

B represents the image coordinates of H, I, J

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.