Answer:
Answer is x+4y+16 = 0
Step-by-step explanation:
[tex]given \: slope \: m = \frac{ - 1}{4} and \: y \: intercept \: c = - 4 \\ the \: equation \: of \: the \: the \: line \: is \\ y = mx + c \\substituting \: the \: values \: in \: the \: formula \\ y = \frac{ - 1}{4} x + ( - 4) \\ y = \frac{ - x}{4} - 4 \\ y = \frac{ - x - 16}{4 } \\ 4y = - x - 16 \\ x + 4y + 16 = 0 \\ therefore \: the \: required \: equation \: is \\ x + 4y + 16 = 0[/tex]
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