Question

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line gh contains points g(-2, 6) and h(5, -3). what is the slope of gh?

Explanation:

Step1: Recall slope - formula

The slope formula for two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Step2: Identify the points

Given \(G(-2,6)\) and \(H(5, - 3)\), where \(x_1=-2,y_1 = 6,x_2=5,y_2=-3\).

Step3: Substitute values into formula

\(m=\frac{-3 - 6}{5-(-2)}=\frac{-9}{7}=-\frac{9}{7}\)

Answer:

\(-\frac{9}{7}\)