Y=5x-6 solve for y and check

1 answer:

4 0

I think you meant solve for x.
Step 1: Flip the equation.5x−6=yStep 2: Add 6 to both sides.5x−6+6=y+65x=y+6Step 3: Divide both sides by 5.5x/5=y+6/5Answer: x=1/5y+6/5

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Rashid [163]

$\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{a}{b}\\\\
slope=\cfrac{a}{{{ b}}}\qquad negative\implies -\cfrac{a}{{{ b}}}\qquad reciprocal\implies - \cfrac{{{ b}}}{a}\\\\
-------------------------------\\\\$

$\bf \boxed{5i+12j}\implies 
\begin{array}{rllll}
\ \textless \ 5&,&12\ \textgreater \ \\
x&&y
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\\\\\\
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\\\\\\
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so any other vector that has a negative reciprocal slope to it, will then be perpendicular or "orthogonal" to it.

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or using a unit vector for those above, then

$\bf \textit{unit vector}\qquad \cfrac{\ \textless \ a,b\ \textgreater \ }{||\ \textless \ a,b\ \textgreater \ ||}\implies \cfrac{\ \textless \ a,b\ \textgreater \ }{\sqrt{a^2+b^2}}\implies \cfrac{a}{\sqrt{a^2+b^2}},\cfrac{b}{\sqrt{a^2+b^2}}
\\\\\\
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\\\\\\
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