Answer:
1/6
Step-by-step explanation:
The standard way of writing the equation of a line is expressed as y = mx + b
m is the slope of the line
Given the expression
3x - 18y = -378
First reqrite in standard form as shown;
-18y = -3x - 378
Divide through by -18
-18y/-18 = -3x/-18 - 378/-18
y = 3/18 x + 21
Comparing with the standard equation;
mx = 3/18 x
m = 3/18
m = (3*1)/(3*6)
m = 3/3 * 1/6
m = 1 * 1/6
m = 1/6
Hence the slope of the line parallel to the given line will be the same and equal to 1/6