Answer:
[tex]y=-4x+1[/tex]
Step-by-step explanation:
To get this, use the following steps:
1) Knowing that line q is perpendicular to the line p, the slope of line q must be the negative reciprocal of the slope of line p. Thus the slope is [tex]-(\frac{1}{4})^{-1} = -4[/tex]
2) To find the equation, plug in the point given:
[tex]5 = -4(-1) + b[/tex]
[tex]b = 1[/tex]
3) The equation of line q is thus:
[tex]y= -4x+1[/tex]
