Question

What is the slope of the linear function represented by the graph with plotted points Y(12, 11) and X(-3, -4)?

Answer 1

To find the slope of a linear function represented by two points, you can use the formula for slope \( m \):

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

Here, let’s denote the points as follows:
- Point 1: \( Y(12, 11) \) → \( (x_1, y_1) = (12, 11) \)
- Point 2: \( X(-3, -4) \) → \( (x_2, y_2) = (-3, -4) \)

Now, we can plug in the coordinates into the slope formula:

\[
m = \frac{-4 - 11}{-3 - 12}
\]
\[
m = \frac{-15}{-15}
\]
\[
m = 1
\]

Thus, the slope of the linear function represented by the given points is \( \boxed{1} \).