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Linear equations in two variables SAT question

Math · Algebra · Easy · Answer it here, explanation included.

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?

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

$x$	$y$
$0$	$0$
$1$	$- 3$
$2$	$- 1$

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

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

ExplanationShow

Choice D is correct. It’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 $(2, - 9)$ .

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Linear equations in two variables SAT question

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