Respuesta :

Answer:

The slope =  [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

The slope of the line joining two known points on the coordinate plane [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is given by the expression

[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex].

Now, in our case, (0,-1) and (3,4) are the points through which the straight line on the graph passes.

So, the slope of the given graphed line will be = [tex]\frac{4 + 1}{3 - 0} = \frac{5}{3}[/tex] (Answer).