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Find an equation for the line with the given properties. Express your answer using either the general form or the slope intercept form of the equation of a line

Find an equation for the line with the given properties. Express your answer using-example-1
User Luc CR
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We are given the line

x - 5y = -4

We need to get this in slope intercept form

x-5y -x = -x-4

-5y = -x-4

Divide by -5

05y/-5 = -x/-5 -4/-5

y = 1/5x + 4/5

The slope oif this line is 1/5

We want to find a line that is parallel. Parallel lines have the same slope, so the new line will have a slope of 1/5

The new line contains the point(0,0)

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = 1/5x + 0

y = 1/5x

(We know the y intercept is 0 since the point is (0,0) it crosses the y axis at 0)

User William Grand
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