Answer:
[tex]y = \frac{1}{4} x + 6[/tex]
Step-by-step explanation:
rewrite the original equation
[tex]4x + y = 7 \\ y = - 4x + 7[/tex]
perpendicular line has a negative reciprocal slope. I will use this slope and substitute the points to find our y-intercept
[tex]5 = \frac{1}{4} ( - 4) + b \\ 5 = - 1 + b \\ b = 6[/tex]
