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Reil [10]
2 years ago
10

What is the equation of the line that is parallel to the given

Mathematics
1 answer:
slamgirl [31]2 years ago
7 0

Answer:

y=\frac{1}{5}x+\frac{12}{5}

Step-by-step explanation:

<u><em>Complete Question:</em></u> What is the equation of line that is parallel to the line y=\frac{1}{5}+4 and passes through (-2,2).

Let\ the\ equation\ of\ line\ is\ y=mx+c\\\\Since\ it\ is\ parallel\ to\ the\ line\ y=\frac{1}{5}x+4,\ the\ slope\ of\ both\ the\ lines\ will\ be\ same.\\\\Slope\ of\ y=\frac{1}{5}x+4\ is=\frac{1}{5}\\\\m=\frac{1}{5}\\\\Equation: y=\frac{1}{5}x+c\\\\It\ passes\ through\ (-2,2),\ This\ point\ will\ satisfy\ the\ equation.\\\\2=\frac{1}{5}\times (-2)+c\\\\c=2+\frac{2}{5}\\\\c=\frac{12}{5}\\\\The\ Equation\ is: y=\frac{1}{5}x+\frac{12}{5}

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