Question

A table of values of a linear relationship is shown the x axis numbers are -2 , 1, 4 and y axis numbers are 11 , -4, -19. what is the slope?

Answer 1

To determine the slope of a linear relationship, we can use two points from the table. Let's choose the points \((-2, 11)\) and \((4, -19)\).

The formula for the slope (\(m\)) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Substituting in our points:

- \((x_1, y_1) = (-2, 11)\)
- \((x_2, y_2) = (4, -19)\)

Now, we calculate the slope:

\[
m = \frac{-19 - 11}{4 - (-2)} = \frac{-30}{4 + 2} = \frac{-30}{6} = -5
\]

Thus, the slope of the linear relationship is \(-5\).