The line slants sharply up from left to right. The line passes through the following points: (0 comma negative 5)

Question

The graph shows the linear relationship between $x$ and $y$ . Which table gives three values of $x$ and their corresponding values of $y$ for this relationship?

Accepted Answer

Choice D is correct. It&rsquo;s given that the graph shows the linear relationship between x and y . The given graph passes through the points 0 , - 5 , 1 , - 3 , and 2 , - 1 . It follows that when x = 0 , the corresponding value of y is - 5 , when x = 1 , the corresponding value of y is - 3 , and when x = 2 , the corresponding value of y is - 1 . Of the given choices, only the table in choice D gives these three values of x and their corresponding values of y for the relationship shown in the graph. Choice A is incorrect. This table represents a relationship between x and y such that the graph passes through the points 0 , 0 , 1 , - 7 , and 2 , - 9 . Choice B is incorrect. This table represents a relationship between x and y such that the graph passes through the points 0 , 0 , 1 , - 3 , and 2 , - 1 . Choice C is incorrect. This table represents a linear relationship between x and y such that the graph passes through the points 0 , - 5 , 1 , - 7 , and 2 , - 9 .

$x$	$y$
$0$	$0$
$1$	$negative 7$
$2$	$negative 9$

$x$	$y$
$0$	$0$
$1$	$negative 3$
$2$	$negative 1$

$x$	$y$
$0$	$negative 5$
$1$	$negative 7$
$2$	$negative 9$

$x$	$y$
$0$	$negative 5$
$1$	$negative 3$
$2$	$negative 1$

Question 243f2e