what’s the verdict boys

Answer:

[tex]y=\frac{1}{26}x-2[/tex]

Step-by-step explanation:

[tex]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=\frac{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\\\frac{-26y}{-26}=\frac{52}{-26}-\frac{x}{-26}[/tex][tex]\mathrm{Simplify}\\\frac{-26y}{-26}=\frac{52}{-26}-\frac{x}{-26}\\\mathrm{Simplify\:}\frac{-26y}{-26}:\quad y\\\frac{-26y}{-26}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{26y}{26}\\\mathrm{Divide\:the\:numbers:}\:\frac{26}{26}=1\\=y[/tex]

[tex]\mathrm{Simplify\:}\frac{52}{-26}-\frac{x}{-26}:\quad -\frac{52-x}{26}\\\frac{52}{-26}-\frac{x}{-26}\\\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{52-x}{-26}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{52-x}{26}\\y=\frac{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=\frac{1}{26}x-2[/tex]

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