Answer:
D.
Step-by-step explanation:
When a line is perpendicular to another, their slopes will be opposite reciprocal. For example, 1 would be -1, -3 would be [tex]\frac{1}{3}[/tex] , and [tex]\frac{5}{1}[/tex] would be -5. The equation is written in slope-intercept form:
[tex]y=mx+b[/tex]
m is the slope, so find the equation with the opposite reciprocal of 3, [tex]-\frac{1}{3}[/tex]:
[tex]y=-\frac{1}{3} x+4[/tex] is the only option with the correct slope, so the answer is D.
