Finding the Slope: Linear Function from Coordinate Graph

For the function in front of you, the slope is?

To determine the slope of the line, we'll examine the direction of the line segment on the graph:

• The line depicted moves from the top left, passing through a point with higher $y$-coordinate values, to the bottom right, ending at a point with lower $y$-coordinate values.
• This movement indicates that as $x$ increases (the direction to the right along the $x$-axis), the $y$-coordinate decreases.
• When the $y$-value reduces as the $x$-value grows, the slope $m$ is negative.

Since the line descends from left to right, the slope of the line is negative.

Therefore, the slope of the function is a negative slope.