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# Find the number of square units in the area of the triangle.

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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.

Nov 8, 2020

#1
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a single line is not enough to make a triangle.

Nov 8, 2020
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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.

Hello Guest!

$$y=m(x-x_1)+y_1$$

$$m=\frac{7-2}{-2+6}=\frac{5}{4}$$

$$y=\frac{5}{4}(x+6)+2$$

$${\color{blue}y=\frac{5}{4}x+9.5}\\ x_0=-7.6\\ y_0=9.5$$

$$A_{◿}=\frac{1}{2}\cdot 7.6\cdot 9.5$$

$$A_{◿}=36.1\ square\ units$$

!

Nov 8, 2020
edited by asinus  Nov 8, 2020