Answer:
The equation of this line would be y = 3/2x + 4
Explanation:
In order to find this equation we must first find the slope of the original line. The original slope (the coefficient of x) is -2/3, which means the new slope will also be 3/2 because perpendicular lines have opposite and reciprocal slopes. Now, we can use this slope along with the point in point-slope form to find the equation of the line.
y - y1 = m(x - x1)
y + 5 = 3/2(x + 6)
y + 5 = 3/2x + 9
y = 3/2x + 4