Question

question 9 of 10
graph and find the area of the figure with the vertices (-2, -2), (0, 0), (3, -2).

Explanation:

Step1: Identify the base length

The points \((-2, -2)\) and \((3, -2)\) have the same \(y\)-coordinate, so the distance between them (base of the triangle) is \(3 - (-2)=5\).

Step2: Identify the height

The height is the vertical distance from the point \((0,0)\) to the line \(y = -2\), which is \(|0 - (-2)| = 2\).

Step3: Calculate the area of the triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). Substituting the values, we get \(A=\frac{1}{2}\times5\times2\).

Step4: Simplify the expression

\(\frac{1}{2}\times5\times2 = 5\).

Answer:

The area of the figure is \(5\).