Question

Write the equation of the line that is parallel to y=1/3x-3 and passes through the point (6,2)

PLEASE HELP

Answer 1

`\textsf{Hi Brainy User, I'm Here to Help you!}`

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`\textsf{Parallel lines have the same slope, thus:}`

`.\qquad\bullet\sf{Slope\:of\:the\:line\:that's\:parallel\:to\:the\:given\:line: (1)/(3)}`

`\textsf{Next, we'll apply the \textbf{Point-Slope Formula:}}`

`.\qquad\bullet\sf{y-y_1=m(x-x_1)}`

`\textbf{\underline{Setting the values:}}`

`.\qquad\bullet\sf{y_1=2}\\.\qquad\bullet m=1/3\\.\qquad\bullet x_1=6}}`

`\textbf{\underline{Plugging in the values:}}`

`.\qquad\bullet\sf{y-2=(1)/(3) (x-6)}\\\\.\qquad\bullet y-2=(1)/(3)x-2}\\\\.\qquad\bullet y=(1)/(3) x}`

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