Question

Write an equation of the line that passes through the given point and is parallel to the given line. (18,2), 3y=x-12

Answer 1

y = 1/3x - 4

Explanation:

3y = x - 12

y = 1/3x - 4

m = 1/3

Since the line we want to find is parallel to the given line, it will have the same slope of 1/3. Now we can use the point-slope form of a linear equation to write the equation of the line:

y - 2 = 1/3(x - 18)

y - 2 = 1/3x - 6

y = 1/3x - 4

So, the answer is y = 1/3x - 4