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

To find the slope \( m \) of the line through the points \((-5, 2)\) and \((5, -5)\), we can use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Here, \((x_1, y_1) = (-5, 2)\) and \((x_2, y_2) = (5, -5)\). Plugging in the values, we have: \[ m = \frac{-5 - 2}{5 - (-5)} = \frac{-7}{5 + 5} = \frac{-7}{10} \] Thus, the slope \( m = \frac{-7}{10} \). Now, for drawing the line through the points, you can plot the two points on a coordinate plane and then use the slope to sketch the line. Starting at point \((-5, 2)\) and going down 7 units and to the right 10 units will take you to another point on the line, ensuring it's straight!