Using the concept of slope, it is found that the graph given has a slope of [tex]\frac{1}{3}[/tex].
- Given two points of a line, [tex](x_0, y_0)[/tex] and [tex](x_1, y_1)[/tex], the slope is given by change in y divided by change in x, that is:
[tex]m = \frac{\Delta_y}{\Delta_x} = \frac{y_1 - y_0}{x_1 - x_0}[/tex]
In this problem, the points are (3,-4) and (6,-3), thus, the slope is of:
[tex]m = \frac{-3 - (-4)}{6 - 3} = \frac{-3 + 4}{3} = \frac{1}{3}[/tex]
The slope is of [tex]\frac{1}{3}[/tex]
A similar problem is given at https://brainly.com/question/13488309
