Answer:
\[y=-5x+18\]
Step-by-step explanation:
Given that the line is parallel to \[y = -5x + 6\]
Hence the slope of the line is given by -5
Hence the equation of the required line can be represented by \[y = -5x + c\]
This line passes through (4,-2). Substituting:
\[-2 = -5 * 4 + c\]
=> \[-2 = -20 + c\]
=> c = 20-2 = 18
So the required equation of the line is given by : \[y = -5x + 18\]
From the given options, option 3 is the correct one.
