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Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1, 3). A) y = − 1/5 x + 16/5 B) y = −5x − 5/16 C) y = 5x + 10 D) y = 1/5 x − 2

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MrsStrong

Answer:

A

Step-by-step explanation:

Parallel lines have the same slope. Find the slope by converting the equation x + 5y = 10 into y = mx+b form. It becomes y = -1/5x + 2. The slope is -1/5.

Substitute -1/5 and the point (1,3) into the point slope form.

[tex]y - y_1 = m(x-x_1)\\y - 3 = -\frac{1}{5}(x - 1)\\y - 3 = -\frac{1}{5}x + \frac{1}{5}\\y = -\frac{1}{5}x + \frac{16}{5}[/tex]

Answer:

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Step-by-step explanation:

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