Answer:
The equation of the perpendicular line would be y = -3x + 8
Explanation:
In order to find this line, we must first find the slope of the original line. We can do this by looking at the coefficient of x, which is 1/3
This shows us a slope of 1/3. T0 find the perpendicular slope, we use the opposite and reciprocal. This means we negate 1/3 to get -1/3 and then we flip it to get -3. Now that we have this, we can use the slope and the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 5 = -3(x - 1)
y - 5 = -3x + 3
y = -3x + 8