Which line is parallel to y= -52 + 6 and passes through (4, -2)?
y=-5x+6
y=-5x-18
y=-5x+18
y=-5x-6

\[y=-5x+18\]

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.

step-by-step explanation:

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