Answer:
[tex]y = 4x - 5[/tex]
Step-by-step explanation:
rewrite the equation
[tex]x + 4y - 8 = 0 \\ 4y = - x + 8 \\ y = - \frac{1}{4} x + 2[/tex]
perpendicular slope is a negative reciprocal. we will use the negative reciprocal to find the y-intercept
[tex]3 = 4(2) + b \\ 3 = 8 + b \\ b = - 5[/tex]
