Questions: Question 4 (2 points) (Slope LC) What is the slope of the line that contains the points (1,-9) and (-3,3) ? a 3 b -3 c 1/3 d -1/3

Question 4 (2 points)
(Slope LC)
What is the slope of the line that contains the points (1,-9) and (-3,3) ?
a 3
b -3
c 1/3
d -1/3
Transcript text: Question 4 (2 points) (Slope LC) What is the slope of the line that contains the points $(1,-9)$ and $(-3,3)$ ? a $\quad 3$ b $\quad-3$ C $\quad \frac{1}{3}$ d $-\frac{1}{3}$
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Solution

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Solution Steps

Step 1: Identify the given points

The given points are (1,9)(1, -9) and (3,3)(-3, 3).

Step 2: Recall the slope formula

The slope mm of a line passing through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by: m=y2y1x2x1 m = \frac{y_2 - y_1}{x_2 - x_1}

Step 3: Substitute the values into the slope formula

Let (x1,y1)=(1,9)(x_1, y_1) = (1, -9) and (x2,y2)=(3,3)(x_2, y_2) = (-3, 3). Substituting these values into the formula: m=3(9)31=124=3 m = \frac{3 - (-9)}{-3 - 1} = \frac{12}{-4} = -3

Final Answer

The slope of the line is 3\boxed{-3}. The correct choice is b.

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