Find the slope \( m \) of the line through the following pair of points and draw the line through the points. \( (6,1),(5,2) \) Answer exactly. \( m= \)

To find the slope \( m \) of the line through the points \( (6,1) \) and \( (5,2) \), we use the formula for slope: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Assigning \( (x_1, y_1) = (6, 1) \) and \( (x_2, y_2) = (5, 2) \), we get: \[ m = \frac{2 - 1}{5 - 6} = \frac{1}{-1} = -1 \] Thus, the slope \( m = -1 \). Now, to visualize the line, we can plot the two points on a coordinate plane. The point \( (6, 1) \) is to the right and slightly below the point \( (5, 2) \). Connecting these points shows a line that slopes downward from left to right, illustrating the negative slope of -1.