Given,
\[2y~=\text{ }5x~+\text{ }7,~x-axis,~x~=\text{ }2\text{ }and~x~=\text{ }8\]
graphg for:
\[2y~=\text{ }5x~+\text{ }7\text{ }\Rightarrow \text{ }y\text{ }=\text{ }\left( 5x\text{ }+\text{ }7 \right)/2\] is
| x | 1 | -1 |
| y | 6 | 1 |
The area of the required region is
Therefore, the required area the region = 96 sq. units