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

When line $n$ is graphed in the $xy$-plane, it has an $x$-intercept of $ (-4,0)$ and $y$-intercept of $ (0,\\frac{86}{3})$. What is the slope of line $n$?

","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-144"}],"about":{"@type":"Thing","name":"Math, Algebra, Duplicate"},"educationalLevel":"intermediate","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","assesses":["Math","Algebra","Duplicate"],"name":"

When line $n$ is graphed in the $xy$-plane, it has an $x$-intercept of $ (-4,0)$ and $y$-intercept of $ (0,\\frac{86}{3})$. What is the slope of line $n$?

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

Choice C is correct. It's given that when line $n$ is graphed in the $xy$-plane, it has an $x$-intercept of $ (-4,0)$ and a $y$-intercept of $ (0,\\frac{86}{3})$. The slope, $m$, of a line can be found using any two points on the line, $(x_{1},y_{1})$ and $(x_{2},y_{2})$, and the slope formula $m=\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$. Substituting the points $ (-4,0)$ and $ (0,\\frac{86}{3})$ for $(x_{1},y_{1})$ and $(x_{2},y_{2})$, respectively, in the slope formula yields $m=\\frac{\\frac{86}{3}-0}{0-(-4)}$, or $m=\\frac{43}{6}$. Therefore, the slope of the line $n$ is $\\frac{43}{6}$.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect. This is the slope of a line that has an $x$-intercept of $(\\frac{86}{3},0)$ and a $y$-intercept of $(0,-4)$.

Choice D is incorrect and may result from conceptual or calculation errors.

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

When line $n$ is graphed in the $xy$-plane, it has an $x$-intercept of $ (-4,0)$ and $y$-intercept of $ (0,\\frac{86}{3})$. What is the slope of line $n$?

","suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/html","text":"

$\\frac{3}{344}$

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

$\\frac{6}{43}$

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

$\\frac{344}{3}$

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

$\\frac{43}{6}$

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

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect. This is the slope of a line that has an $x$-intercept of $(\\frac{86}{3},0)$ and a $y$-intercept of $(0,-4)$.

Choice D is incorrect and may result from conceptual or calculation errors.

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

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect. This is the slope of a line that has an $x$-intercept of $(\\frac{86}{3},0)$ and a $y$-intercept of $(0,-4)$.

Choice D is incorrect and may result from conceptual or calculation errors.

"}}},"url":"https://classnotes.xyz/mcqs/sat-math-algebra-multiple-choice-question-144"}

When line $n$ is graphed in the $xy$-plane, it has an $x$-intercept of $ (-4,0)$ and $y$-intercept of $ (0,\frac{86}{3})$. What is the slope of line $n$?