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

What is the equation of the graph shown?

$\"\"$

","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-252"}],"about":{"@type":"Thing","name":"Math, Algebra, Duplicate"},"educationalLevel":"intermediate","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","assesses":["Math","Algebra","Duplicate"],"name":"

What is the equation of the graph shown?

$\"\"$

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

Choice C is correct. An equation of a line can be written in the form $y=mx+b$, where $m$ is the slope of the line and $(0,b)$ is the $y$-intercept of the line. The line shown passes through the point $(0,-8)$, so $b=-8$. The line shown also passes through the point $(-8,0)$. The slope, $m$, of a line passing through two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ can be calculated using the equation $m=\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$. For the points $(0,-8)$ and $(-8,0)$, this gives $m=\\frac{(-8)-0}{0-(-8)}$, or $m=-1$. Substituting $-8$ for $b$ and $-1$ for $m$ in $y=mx+b$ yields $y=(-1)x+(-8)$, or $y=-x-8$. Therefore, the equation of the graph shown is $y=-x-8$.

Choice A is incorrect. This is an equation of a line with a slope of $-2$, not $-1$.

Choice B is incorrect. This is an equation of a line with a slope of $1$, not $-1$.

Choice D is incorrect. This is an equation of a line with a slope of $2$, not $-1$.

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

What is the equation of the graph shown?

$\"\"$

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

$y=-2x-8$

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

$y=x-8$

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

$y = 2x -8$

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

$y=-x-8$

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

Choice A is incorrect. This is an equation of a line with a slope of $-2$, not $-1$.

Choice B is incorrect. This is an equation of a line with a slope of $1$, not $-1$.

Choice D is incorrect. This is an equation of a line with a slope of $2$, not $-1$.

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

Choice A is incorrect. This is an equation of a line with a slope of $-2$, not $-1$.

Choice B is incorrect. This is an equation of a line with a slope of $1$, not $-1$.

Choice D is incorrect. This is an equation of a line with a slope of $2$, not $-1$.

"}}},"url":"https://classnotes.xyz/mcqs/sat-math-algebra-multiple-choice-question-252"}