slope = 3/4
Explanation:We would apply the slope formula:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]The points of the graph: (-4, -2) and (4, 4)
[tex]\begin{gathered} x=-4,y_1=-2,x_2=4,y_2\text{ = }4 \\ \text{slope = }\frac{4-(-2)}{4-(-4)} \end{gathered}[/tex][tex]\begin{gathered} \text{Multiplication of same sign gives a positive sign} \\ \text{slope = }\frac{4+2}{4+4} \end{gathered}[/tex][tex]\begin{gathered} \text{slope = 6/8} \\ To\text{ the lowest term:} \\ \text{slope = 3/4} \end{gathered}[/tex]