Question

what is the area of the triangle?

Explanation:

Step1: Find the base and height

The base of the triangle is the distance between \(x = - 5\) and \(x = 1\). So, \(b=\vert-5 - 1\vert=\vert-6\vert = 6\). The height is the distance from \(y=-2\) to \(y = - 1\), so \(h=\vert-2-(-1)\vert=\vert-2 + 1\vert=1\).

Step2: Use the area formula

The area formula for a triangle is \(A=\frac{1}{2}\times b\times h\). Substitute \(b = 6\) and \(h = 1\) into the formula: \(A=\frac{1}{2}\times6\times1\).

Step3: Calculate the area

\(A = 3\).

Answer:

\(3\)