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Linear equations in two variables SAT question

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

$y = x + 4$

Which table gives three values of $x$ and their corresponding values of $y$ for the given equation?

$x$	$y$
$0$	$4$
$1$	$5$
$2$	$6$

$x$	$y$
$0$	$6$
$1$	$5$
$2$	$4$

$x$	$y$
$0$	$2$
$1$	$1$
$2$	$0$

$x$	$y$
$0$	$0$
$1$	$1$
$2$	$2$

ExplanationShow

Choice A is correct. Substituting $0$ for $x$ into the given equation yields $y = 0 + 4$ , or $y = 4$ . Therefore, when $x = 0$ , the corresponding value of $y$ for the given equation is $4$ . Substituting $1$ for $x$ into the given equation yields $y = 1 + 4$ , or $y = 5$ . Therefore, when $x = 1$ , the corresponding value of $y$ for the given equation is $5$ . Substituting $2$ for $x$ into the given equation yields $y = 2 + 4$ , or $y = 6$ . Therefore, when $x = 2$ , the corresponding value of $y$ for the given equation is $6$ . Of the choices given, only the table in choice A gives these three values of $x$ and their corresponding values of $y$ for the given equation.

Choice B is incorrect. This table gives three values of $x$ and their corresponding values of $y$ for the equation $y = - x + 6$ .

Choice C is incorrect. This table gives three values of $x$ and their corresponding values of $y$ for the equation $y = - x + 2$ .

Choice D is incorrect. This table gives three values of $x$ and their corresponding values of $y$ for the equation $y = x$ .

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Linear equations in two variables SAT question

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