rearrange the given equation in slope intercept form
[tex]y = \frac{3x - 1}{ - 2} \\ y = - \frac{3}{2} x + \frac{1}{2} [/tex]
slope of the required line is
[tex] - \frac{1}{ - \frac{3}{2} } = \frac{2}{3} [/tex]
equation is given by
[tex]y - y1 = m(x - x1) \\ y - - 4 = \frac{2}{3} (x - 5) \\ y + 4 = \frac{2x}{3} - \frac{10}{3} \\ y = \frac{2x}{3} - \frac{10}{3} - 4 \\ y = \frac{2}{3} x - \frac{22}{3} [/tex]
