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32 votes
Find the equation of a line parallel to x-4y=36 that passes through the point (-4,-5)

User Sheldonbaker
by
2.7k points

1 Answer

24 votes
24 votes

Answer:

Explanation:

Rearrange the equation 4y-20x = 20 in the form of y = mx+c (m = slope, c = y-intercept)

This will be as y = 5x+5.

If a line is parallel to another line, then their slopes are equal.

The slope of the line above is 5.

Thus, the slope of the other line parallel to this line will also be 5.

Now we can write the equation of this new line as

y = 5x + c

Since point (3, -10) lies on this line, substitute its value in the equation above to get the value of c.

User Colin Fine
by
3.2k points
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