Answer:
[tex] \frac{3}{2} [/tex]
Step-by-step explanation:
Since the given line is in the slope- intercept form, its gradient can be seen from the coefficient of x, which is -2/3.
The product of the slopes of perpendicular lines is -1.
Let the slope of the line be m.
[tex]m( - \frac{2}{3} ) = - 1[/tex]
[tex] m = - 1 \div ( - \frac{2}{3} )[/tex]
[tex]m = - 1 \times ( - \frac{3}{2} )[/tex]
[tex]m = \frac{3}{2} [/tex]
Thus the slope of the line is 3/2.
