Answer:
[tex]y-4=-\frac{1}{4}(x-1)[/tex]
[tex]y=-\frac{1}{4}x+\frac{17}{4}[/tex]
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals, so the slope of L is -1/4.
Substituting into point-slope form yields
[tex]y-4=-\frac{1}{4}(x-1)[/tex]
Isolating y, the slope-intercept form is
[tex]y-4=-\frac{1}{4}x+\frac{1}{4} \\ \\ y=-\frac{1}{4}x+\frac{17}{4}[/tex]
