Solution:
Given that;
The line y=−2x+7 together with the coordinate axes forms a triangle.
Using a graphing tool, the graph of the line is shown below
From the graph above,
The height, h, of the triangle formed is 7 units
The base, b, of the triangle formed is 3.5 units
To find the area, A, of a triangle, the formula is
![\begin{gathered} A=\frac{1}{2}bh \\ A\text{ is the area} \\ b\text{ is the base} \\ h\text{ is the height} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D%5Cfrac%7B1%7D%7B2%7Dbh%20%5C%5C%20A%5Ctext%7B%20is%20the%20area%7D%20%5C%5C%20b%5Ctext%7B%20is%20the%20base%7D%20%5C%5C%20h%5Ctext%7B%20is%20the%20height%7D%20%5Cend%7Bgathered%7D)
Substitute the values of b and h into the formula above
![\begin{gathered} A=\frac{1}{2}bh \\ A=\frac{1}{2}\times7\times3.5=12.25\text{ units}^2 \\ A=12.25\text{ units}^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D%5Cfrac%7B1%7D%7B2%7Dbh%20%5C%5C%20A%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes7%5Ctimes3.5%3D12.25%5Ctext%7B%20units%7D%5E2%20%5C%5C%20A%3D12.25%5Ctext%7B%20units%7D%5E2%20%5Cend%7Bgathered%7D)
Hence, area, A, of the triangle is 12.25 square units