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mathstudent55
Replace x withe the x-coordinate of each point, and replace y with the y-coordinate of each point, and see which choice makes the equation true.

A. (0, 4)
y = 5x - 2
4 = 5(0) - 2
4 = -2 False
A. is not the answer.

B. (2, 8)
y = 5x - 2
8 = 5(2) - 2
8 = 10 - 2
8 = 8 True
B. is an answer.

We already know B. works.
Use the same method for C. and D.
They do not work.

Answer: choice B.

The point (2, 8) lies on the line  y = 5x - 2 which is correct option(B).

What is the graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

To determine the point lie on line or not we have to put points in equation if it satisfy then it lie otherwise not.

(A) Point (0, 4)

y = 5x - 2

Substitute x = 0 and y = 4,

4 = 5(0) - 2

4 = -2

Point (0, 4) does not lie on the line.

(B) Point (2, 8)

y = 5x - 2

Substitute x = 2 and y = 8,

8 = 5(2) - 2

8 = 10 - 2

8 = 8 True

Point (2, 8) lies on the line.

(C) Point (-1,2)

y = 5x - 2

Substitute x = -1 and y = 2,

2 = 5(-1) - 2

2 = -7

Point (-1,2) does not lie on the line.

(D) Point (4,10)

y = 5x - 2

Substitute x = 4 and y = 10,

10 = 5(4) - 2

10 = 18

Point (4,10) does not lie on the line.

Hence, the point (2, 8) lies on the line.

Learn more about graph here:

https://brainly.com/question/16608196

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