Questions: X Y 4 -10 5 -13 6 -16 7 -19 8 -22 Find the slope of the line represented by the table of values. A -1 B -3 C 1 D 3

Transcript text: \begin{tabular}{|l|l|} \hline$X$ & $Y$ \\ \hline 4 & -10 \\ \hline 5 & -13 \\ \hline 6 & -16 \\ \hline 7 & -19 \\ \hline 8 & -22 \\ \hline \end{tabular} Find the slope of the line represented by the table of values. A -1 B ${ }^{-3}$ C 1 D 3

Solution

Solution Steps

To find the slope of the line represented by the table of values, we can use the formula for the slope between two points $(x_1, y_1)$ and $(x_2, y_2)$, which is $(y_2 - y_1) / (x_2 - x_1)$. We can choose any two points from the table to calculate the slope.

Step 1: Identify Points

From the table, we select two points: $(x_1, y_1) = (4, -10)$ and $(x_2, y_2) = (5, -13)$.

Step 2: Calculate the Slope

Using the slope formula $ m = \frac{y_2 - y_1}{x_2 - x_1} $, we substitute the values: \[ m = \frac{-13 - (-10)}{5 - 4} = \frac{-13 + 10}{1} = \frac{-3}{1} = -3 \]