A line passes through (-6,2) and (-2,7), making a triangle in the second quadrant. Find the number of square units in the area of the triangle.
A line passes through (-6,2) and (-2,7), making a triangle in the second quadrant. Find the number of square units in the area of the triangle.
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\(y=m(x-x_1)+y_1\)
\(m=\frac{7-2}{-2+6}=\frac{5}{4}\)
\(y=\frac{5}{4}(x+6)+2\)
\({\color{blue}y=\frac{5}{4}x+9.5}\\ x_0=-7.6\\ y_0=9.5\)
\(A_{◿}=\frac{1}{2}\cdot 7.6\cdot 9.5\)
\(A_{◿}=36.1\ square\ units\)
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