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4. determine the slope of line gh.

Question

  1. determine the slope of line gh.

Explanation:

Step1: Identify two points

Let \(G=(-3, - 4)\) and \(H=(4,3)\)

Step2: Use slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Here \(x_1=-3,y_1 = - 4,x_2 = 4,y_2=3\). Then \(m=\frac{3-(-4)}{4-(-3)}\)

Step3: Simplify the expression

\(m=\frac{3 + 4}{4 + 3}=\frac{7}{7}=1\)

Answer:

1