Perpendicular lines have slopes that are negative reciprocals. Since the slope of the given line is \(\displaystyle-{\left(\frac{{4}}{{3}}\right)}\) so the required slope is \(\displaystyle{m}=\frac{{3}}{{4}}\). The y-intercept is (0,-8) so b=-8

Using slope-intercept form of a line, the equation is: y=mx+b

\(\displaystyle{y}=\frac{{3}}{{4}}{x}−{8}\)

Using slope-intercept form of a line, the equation is: y=mx+b

\(\displaystyle{y}=\frac{{3}}{{4}}{x}−{8}\)