ANSWER
[tex]y - 1 = \frac{2}{3} (x - 3)[/tex]
EXPLANATION
To find the equation in point-slope form, use the formula,
[tex]y-y_1=m(x-x_1)[/tex]
The [tex]m[/tex]
is the slope of the line.
We can read from the graph that, the straight line passes through, the points
[tex](-3,-3) \: and \: (3,1)[/tex]
We can use these two points to find the slope of the line.
The slope can found using the formula,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
This means that,
[tex]m = \frac{1 - - 3}{3 - - 3} [/tex]
[tex]m = \frac{1 + 3}{3 + 3} [/tex]
[tex]m = \frac{4}{6} [/tex]
[tex]m = \frac{2}{3} [/tex]
We now use one of the points, say
[tex](3,1)[/tex]
with the slope to find the equation of the line.
[tex]y - 1 = \frac{2}{3} (x - 3)[/tex]
