Question

Which table of ordered pairs, when plotted, will form a straighr line. Select all that applyAnswer D is x y-2 -80 -44 46 8

Answer 1

If the increase or decrease of y value with respect to corresponding x values is uniform, then the values will form a straight line.

SO, the slope must be constant for all the ordered pairs:

A.

$m=\frac{y2-y1}{x2-x1}=\frac{0+1}{-1+2}=\frac{1-0}{0+1}=\frac{6-1}{5-0}=\text{ 1}$

A is a straight line

B.

$m=\frac{-3-7}{0+2}\ne\frac{12+3}{3-0}$

B is not a straight line

C.

$m=\frac{5+3}{0+4}=\frac{9-5}{2-0}\ne\frac{12-9}{5-2}$

C is not a straight line

D.

$m=\frac{-4+8}{0+2}=\frac{4+4}{4-0}=\frac{8-4}{6-4}$

D is a straight line.

Correct options: A and D