Question

The line y=−2x+7 together with the coordinate axes forms a triangle. Determine the area of the triangle

Answer 1

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

$\begin{gathered} A=\frac{1}{2}bh \\ A\text{ is the area} \\ b\text{ is the base} \\ h\text{ is the height} \end{gathered}$

Substitute the values of b and h into the formula above

$\begin{gathered} A=\frac{1}{2}bh \\ A=\frac{1}{2}\times7\times3.5=12.25\text{ units}^2 \\ A=12.25\text{ units}^2 \end{gathered}$

Hence, area, A, of the triangle is 12.25 square units