Solution:
The equation of line in point slope form is given as:
[tex]y - y_1 = m(x-x_1)[/tex]
Where, "m" is the slope of line
Given that,
slope = 2/3
[tex]m = \frac{2}{3}[/tex]
The line passes through (5, -3)
Substitute m = 2/3 and [tex](x_1, y_1)[/tex] = (5, -3) in point slope form
[tex]y - (-3) = \frac{2}{3}(x -5)\\\\y + 3 = \frac{2}{3}(x -5)[/tex]
Thus equation of line in point slope form is found