A student reflected four points across the y-axis and recorded his work as sets of ordered pairs. Which set of ordered pairs has an error?

Original point Reflection across the y-axis
A (6, 8) (-6, 8)
B (1, 1) (-1, 1)
C (0, 3) (0, 3)
D (3, 2) (3, -2)
Set A
Set B
Set C
Set D

The set D has an error.

Step-by-step explanation:

Step 1:

Given set of ordered pairs

A (6, 8) (-6, 8)

B (1, 1) (-1, 1)

C (0, 3) (0, 3)

D (3, 2) (3, -2)

We need to find the set which has an error of incorrect reflection across the y axis.

Step 2 :

When a point is reflected across the y - axis , the value of y in the point (x,y) will be the same, and the sign of the  x value will be changed to its opposite

i.e if we have a point (x,y) reflection across y axis will be (-x,y)

Step 3 :

Point A - y is same , sign of x is changed to opposite.

Point B - y is same , sign of x is changed to opposite.

Point C - y is same , x is 0

Point D - y is not same , sign of x is not changed to opposite.

Hence the set D has an error.

Step 4 :

Answer :

The set D has an error.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

c. side angle side. u shares the same sides