Question

Which table of values corresponds to the graph below? On a coordinate plane, a line goes through points (0, 0), (3, 1), and (6, 2).

Answer 1

SOLUTION

TO DETERMINE

Which table of values corresponds to the graph below

On a coordinate plane, a line goes through points (0, 0), (3, 1), and (6, 2).

1.

$: \sf{ \: \: x : \: \: \: - 3 \: \: \: \: \: 0 \: \: \: \: 3 \: \: \: \: \: 6}$

$: \sf{ \: \: y : \: \: \: - 1 \: \: \: \: \: 0 \: \: \: \: 1 \: \: \: \: \: 2}$

2.

$: \sf{ \: \: x : \: \: \: - 1 \: \: \: \: \: 0 \: \: \: \: 1 \: \: \: \: \: 2}$

$: \sf{ \: \: y : \: \: \: - 3 \: \: \: \: \: 0 \: \: \: \: 3 \: \: \: \: \: 6}$

3.

$: \sf{ \: \: x : \: \: \: - 1 \: \: \: \: \: 0 \: \: \: \: 1 \: \: \: \: \: 6}$

$: \sf{ \: \: y : \: \: \: - 1 \: \: \: \: \: 0 \: \: \: \: 1 \: \: \: \: \: 2}$

4.

$: \sf{ \: \: x : \: \: \: - 1 \: \: \: \: \: 0 \: \: \: \: 1 \: \: \: \: \: 2}$

$: \sf{ \: \: y : \: \: \: - 1 \: \: \: \: \: 0 \: \: \: \: 1 \: \: \: \: \: 6}$

EVALUATION

Here the given points are

(0, 0), (3, 1), and (6, 2).

The equation of the line is

$\displaystyle \sf{ \frac{y - 0}{x - 0} = \frac{2 - 1}{6 - 3} }$

$\displaystyle \sf{ \implies \: \frac{y }{x } = \frac{1}{3} }$

$\displaystyle \sf{ \implies \: x = 3y }$

Now when

y = - 1 we have x = - 3

y = 0 we have x = 0

y = 1 we have x = 3

y = 2 we have x = 6

FINAL ANSWER

Hence the correct option is

1.

$: \sf{ \: \: x : \: \: \: - 3 \: \: \: \: \: 0 \: \: \: \: 3 \: \: \: \: \: 6}$

$: \sf{ \: \: y : \: \: \: - 1 \: \: \: \: \: 0 \: \: \: \: 1 \: \: \: \: \: 2}$

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Answer 2

Answer: A

Step-by-step explanation:

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