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4 votes
What’s the verdict boys

What’s the verdict boys-example-1
User Keyonna
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2 Answers

3 votes

Answer:


y=(1)/(26)x-2

Explanation:


x-26y=52\\\mathbf{y=mx+b}\:\mathrm{is\:the\:slope\:intercept\:form\:of\:a\:line\:where}\:\mathbf{m}\:\mathrm{is\:the\:slope\:and}\:\mathbf{b}\:\mathrm{is\:the}\:\mathbf{y}\:\mathrm{intercept}\\\mathrm{Convert\:to\:slope\:intercept\:form}:\quad y=(1)/(26)x-2\\x-26y=52\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\x-26y-x=52-x\\\mathrm{Simplify}\\-26y=52-x\\\mathrm{Divide\:both\:sides\:by\:}-26\\(-26y)/(-26)=(52)/(-26)-(x)/(-26)
\mathrm{Simplify}\\(-26y)/(-26)=(52)/(-26)-(x)/(-26)\\\mathrm{Simplify\:}(-26y)/(-26):\quad y\\(-26y)/(-26)\\\mathrm{Apply\:the\:fraction\:rule}:\quad (-a)/(-b)=(a)/(b)\\=(26y)/(26)\\\mathrm{Divide\:the\:numbers:}\:(26)/(26)=1\\=y


\mathrm{Simplify\:}(52)/(-26)-(x)/(-26):\quad -(52-x)/(26)\\(52)/(-26)-(x)/(-26)\\\mathrm{Apply\:rule}\:(a)/(c)\pm (b)/(c)=(a\pm \:b)/(c)\\=(52-x)/(-26)\\\mathrm{Apply\:the\:fraction\:rule}:\quad (a)/(-b)=-(a)/(b)\\=-(52-x)/(26)\\y=(1)/(26)x-2\\\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\y=(1)/(26)x-2

User Foobnix
by
5.2k points
4 votes
the fill in the blank is 2
you reduce 52/26 that’s how you get the answer
User Hamed Hamedi
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6.1k points