The equation of the line that passes through the point (6,4) and is parallel to the line x-6y=48 is 6y - x = 18
The formula for calculating the equation of a line in point-slope form is expressed as:
y - y0 = m(x-x0)
m is the slope of the line
(x0, y0) is any point on the line:
Given the equation x - 6y = 48
-6y = -x + 48
y = 1/6 x - 8
Slope of the line parallel to the line is 1/6
Get the required equation as shown;
y - 4 = 1/6(x - 6)
6(y-4) = x - 6
6y - 24 = x - 6
6y - x = -6 + 24
6y - x = 18
Hence the equation of the line that passes through the point (6,4) and is parallel to the line x-6y=48 is 6y - x = 18
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