How do you write an equation the line that is parallel to $5 x + 20 y = 10$ $5x+ 20y =10$ and passes through the point (8, 3)?

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How do you write an equation the line that is parallel to $5 x + 20 y = 10$ $5x+ 20y =10$ and passes through the point (8, 3)?

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Answer 1 · 2017-01-01T11:06:42

The equation of line is $x + 4 y = 20$ $x + 4y = 20$

Explanation:

Parallel lines have equal slopes.

The slope of the line $5 x + 20 y = 10 or 20 y = - 5 x + 10 or y = - \frac{5}{20} x + \frac{10}{20} = - \frac{1}{4} x + \frac{1}{2}$ $5x+20y=10 or 20y= -5x+10 or y = -5/20x+10/20 = -1/4x +1/2$ is $m = - \frac{1}{4}$ $m= -1/4$

The equation of line passing through $(8, 3)$ $(8,3)$ is $y - y_{1} = m (x - x_{1}) or y - 3 = - \frac{1}{4} (x - 8) or 4 y - 12 = - x + 8 or x + 4 y = 20$ $y-y_1=m(x-x_1) or y-3= -1/4(x-8) or 4y-12 = -x +8 or x + 4y = 20$ [Ans]

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How do you write an equation the line that is parallel to $5 x + 20 y = 10$ $5x+ 20y =10$ and passes through the point (8, 3)?

1 Answer

Explanation:

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How do you write an equation the line that is parallel to $5 x + 20 y = 10$ $5x+ 20y =10$ and passes through the point (8, 3)?