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

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 $-\frac{1}{3}$

Solution

Solution Steps

Step 1: Identify the given points

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

Step 2: Recall the slope formula

The slope $m$ of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Step 3: Substitute the values into the slope formula

Let $(x_1, y_1) = (1, -9)$ and $(x_2, y_2) = (-3, 3)$. Substituting these values into the formula: \[ m = \frac{3 - (-9)}{-3 - 1} = \frac{12}{-4} = -3 \]

Final Answer

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

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