Question

Which table of ordered pairs, when plotted, will form a straight line? Select two answers.

Answer 1

Options A and D are answers.

Explanation:

The ordered pairs are given in the table in options. We have to choose which table gives a straight line.

We know that if the increase or decrease of y value with respect to corresponding x values is uniform then the plot of those x and y corresponding values will form a straight line.

Now, in table A, the slope of each pair of x and y values is constant i.e.

`(- 1 - 0)/(- 2 - ( - 1)) = (0 - 1)/(- 1 - 0) = (1 - 6)/(0 - 5) = 1`

Hence, it will give a straight line.

In table B, the slope of each pair of x and y values is not constant i.e.

`(7 - (- 3))/(- 2 - 0) \\eq  (- 3 - 12)/(0 - 3)`.

Hence, the plotted graph will not give a straight line.

In table C, the slope of each pair of x and y values is not constant i.e.

`(- 3 - 5)/(- 4 - 0) = (5 - 9)/(0 - 2) \\eq  (9 - 12)/(2 - 5)`

Hence, it will not give a straight line.

In table D, the slope of each pair of x and y values is constant i.e.

`(-8 - (- 4))/(- 2 - 0) = (- 4 - 4)/(0 - 4) = (4 - 8)/(4 - 6)`

Hence, it will give a straight line.

So, options A and D answer.