Question #d230e963 - SAT Suite Question Bank

Modded SAT Question Bank by Abdullah Mallik

The scatterplot shows the relationship between two variables, $x$ and $y$ . A line of best fit is also shown.

Which of the following equations best represents the line of best fit shown?

$y = 2.8 + 1.7 x$
$y = 2.8 - 1.7 x$
$y = - 2.8 + 1.7 x$
$y = - 2.8 - 1.7 x$

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Correct Answer: A

Rationale

Choice A is correct. The line of best fit shown intersects the y-axis at a positive y-value and has a positive slope. The graph of an equation of the form $y = a + b x$ , where $a$ and $b$ are constants, intersects the y-axis at a y-value of $a$ and has a slope of $b$ . Of the given choices, only choice A represents a line that intersects the y-axis at a positive y-value, $2.8$ , and has a positive slope, $1.7$ .

Choice B is incorrect. This equation represents a line that has a negative slope, not a positive slope.

Choice C is incorrect. This equation represents a line that intersects the y-axis at a negative y-value, not a positive y-value.

Choice D is incorrect. This equation represents a line that intersects the y-axis at a negative y-value, not a positive y-value, and has a negative slope, not a positive slope.

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