Question

multiple choice 2 points
the slope of the line determined by the points (-3,2) and (2,-3) is
1
zero
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-1
multiple choice 2 points
the four faces of a fair tetrahedron die are numbered 1, 2, 3, and 4. in two tosses of
the die, the probability of obtaining exactly two 4s is
1/16
1/4
1/8
1/4

Explanation:

Step1: <Slope formula>

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(-3,2)\) and \((x_2,y_2)=(2,-3)\).

Step2: <Substitute values>

Substitute the values into the formula: \(m=\frac{-3 - 2}{2-(-3)}\).

Step3: <Simplify>

First, simplify the numerator: \(-3 - 2=-5\). Then simplify the denominator: \(2-(-3)=2 + 3 = 5\). So \(m=\frac{-5}{5}=-1\).

Answer:

-1