Find the equation of the line parallel to the graph of 14x-7y=1 that passes through the point at (-2,4)

Mathematics

1 answer:

Alla [95]4 years ago

8 0

Answer:

The equation of the line would be y = 2x + 8

Step-by-step explanation:

In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.

14x - 7y = 1

-7y = -14x + 1

y = 2x - 1/7

Now that we have a slope of 2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 4 = 2(x + 2)

y - 4 = 2x + 4

y = 2x + 8

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