Answer:
The slope is given by 4/11.
D is the correct option.
Explanation:
From the given graph, we have two points (-7,2) and (4,6)
In coordinate form, we have
![x_1=-7,y_1=2,x_2=4,y_2=6](https://img.qammunity.org/2019/formulas/mathematics/college/j5fe2gl46x7wuf9lp1r1k2h8p77zfckf20.png)
The slope of a line is given by
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/25uxp4sblay2143idvgkz738ukrk1vzo5g.png)
Substituting the known values, we get
![m=(6-2)/(4+7)](https://img.qammunity.org/2019/formulas/mathematics/college/tg3c9stkc8l1g967b7cp0y8t8i44vrmgc5.png)
On simplifying, we get
![m=(4)/(11)](https://img.qammunity.org/2019/formulas/mathematics/college/v6avlhvhz66iks8z1xfl3r24xja4ny1ge6.png)
The slope is given by 4/11.
D is the correct option.