Answer:
The slope of the line is 7/2.
Explanation:
If a line passes through two points
and
, then the slope of the line is
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2020/formulas/mathematics/high-school/pj0y5tg37a7a9ase0auiwe687ez8iaw2vl.png)
From the given figure it is clear that the line passes though two points (0,0) and (4,14).
Using the above formula, the slope of the line is
![m=(14-0)/(4-0)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3gs2y4pajurq11k1xqc1ppw97csffd2sxu.png)
![m=(14)/(4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/f7rm4oy25egsamka2tmlket5jz0olla7s6.png)
![m=(7)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dd1pbauwqy7zwl0oycydvqbxulfxffglsc.png)
Therefore the slope of the line is 7/2.