2 years ago

What is the coordinates for the given equation: y-2=-1/2 (x+6)

1 answer:

3 0

Slope =1.000/2.000=0.5 X-intercept=10/-1=-10.0 Y-intercept=10/2=5

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Nezavi [6.7K]

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The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ is given by the determinant of the following matrix:

$A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|$

In this question:

Vertices (3,0) (9,0) (7,6). So

$A = \pm 0.5 \left|\begin{array}{ccc}3&0&1\\9&0&1\\7&7&1\end{array}\right|$

$A = \pm 0.5(3*0*1+0*1*7+1*9*7-0*7*1-0*9*1-3*1*7)$

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The area of the triangle is of 21 units of area.

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Maslowich

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