Question

Which of the following plot lines on the given line A. (10,2) B. (-1.-16) C. (17,12) D. (-8,25 1/4)

Answer 1

A. (10,2)

Explanation:

To determine which of the given plot lines corresponds to the points A. (10,2), B. (-1,-16), C. (17,12), and D. (-8,25 1/4), we can compare the x and y coordinates of each point with the given options.

Let's go through each option and check if it matches any of the given points:

A. (10,2): The x-coordinate is 10, and the y-coordinate is 2.

B. (-1,-16): The x-coordinate is -1, and the y-coordinate is -16.

C. (17,12): The x-coordinate is 17, and the y-coordinate is 12.

D. (-8,25 1/4): The x-coordinate is -8, and the y-coordinate is 25 1/4.

Now, let's compare these coordinates with the options:

A. (10,2): The coordinates match option A.

B. (-1,-16): The coordinates do not match option B.

C. (17,12): The coordinates do not match option C.

D. (-8,25 1/4): The coordinates do not match option D.

Therefore, the correct plot line corresponds to option A.

Answer 2

Given that the equation for the line is y = x - 2, we can solve the problem by simply substituting the x and y values of each point into the equation and check whether the equation holds.

For point A (10,2):

We substitute x = 10 and y = 2 into the equation, we get:

2 = 10 - 2 or 2 = 8

Since the left-hand side is not equal to the right-hand side, Point A does not lie on the line.

For point B (-1,-16):

We substitute x = -1 and y = -16 into the equation, we get:

-16 = -1 - 2 or -16 = -3

Since the left-hand side is not equal to the right-hand side, Point B does not lie on the line.

For point C (17,12):

We substitute x = 17 and y = 12 into the equation, we get:

12 = 17 - 2 or 12 = 15

Since the left-hand side is not equal to the right-hand side, Point C does not lie on the line.

For point D (-8,25.25):

We substitute x = -8 and y = 25.25 into the equation, we get:

25.25 = -8 - 2 or 25.25 = -10

Since the left-hand side is not equal to the right-hand side, point D does not lie on the line.

Hence, none of the points A, B, C, and D lie on the line y = x - 2.