Answer: y=-1/3x+4
Step-by-step explanation:
When a line is perpendicular to another, their slopes will be opposite reciprocals. 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:
y=mx+b
y=3x-4
m is the slope, so next find the equation with the opposite reciprocal of 3, [tex]-\frac{1}{3}[/tex]:
Therefore, y=-1/3x+4 is the correct answer.
