{"@context":"https://schema.org/","@type":"Quiz","name":"

Which of the following is an equation of the graph shown in the $xy$-plane below?

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","hasPart":{"@type":"Question","typicalAgeRange":"12-22","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"SAT"},{"@type":"AlignmentObject","alignmentType":"educationalLevel","targetName":"SAT","educationalFramework":"Common Core","targetUrl":"https://classnotes.xyz/mcqs/sat-math-algebra-multiple-choice-question-244"}],"about":{"@type":"Thing","name":"Math, Algebra, Duplicate"},"educationalLevel":"intermediate","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","assesses":["Math","Algebra","Duplicate"],"name":"

Which of the following is an equation of the graph shown in the $xy$-plane below?

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","comment":{"@type":"Comment","text":"

Choice A is correct. The slope of the line can be found by choosing any two points on the line, such as $(4, -2)$ and $(0, -1)$. Subtracting the $y$-values results in $-2 - (-1) = -1$, the change in $y$. Subtracting the $x$-values results in $4 - 0 = 4$, the change in $x$. Dividing the change in $y$ by the change in $x$ yields $-1 \\div 4 = -\\frac{1}{4}$ , the slope. The line intersects the $y$-axis at $(0, -1)$, so $-1$ is the $y$-coordinate of the $y$-intercept. This information can be expressed in slope-intercept form as the equation $y=-\\frac{1}{4}x-1$.

Choice B is incorrect and may result from incorrectly calculating the slope and then misidentifying the slope as the $y$-intercept. Choice C is incorrect and may result from misidentifying the slope as the $y$-intercept. Choice D is incorrect and may result from incorrectly calculating the slope.

"},"encodingFormat":"text/markdown","text":"

Which of the following is an equation of the graph shown in the $xy$-plane below?

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","suggestedAnswer":[{"@type":"Answer","position":1,"encodingFormat":"text/html","text":"

$y=-x-4$

"},{"@type":"Answer","position":2,"encodingFormat":"text/html","text":"

$y=-x-\\dfrac{1}{4}$

"},{"@type":"Answer","position":3,"encodingFormat":"text/html","text":"

$y=-4x-1$

"}],"acceptedAnswer":{"@type":"Answer","position":0,"encodingFormat":"text/html","text":"

$y=-\\dfrac{1}{4}x-1$

","comment":{"@type":"Comment","text":"

"},"answerExplanation":{"@type":"Comment","text":"

"}}},"url":"https://classnotes.xyz/mcqs/sat-math-algebra-multiple-choice-question-244"}