Step 1:
Write the formula of the slope of a line.
[tex]\text{Slope = }\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 2:
Write the coordinates of the two given points
(-1, 1) and (4, -4)
[tex]\begin{gathered} x_1\text{ = -1} \\ y_1\text{ = 1} \\ x_2\text{ = 4} \\ y_2\text{ = -4} \end{gathered}[/tex]
Step 3:
Substitute the values in the formula
[tex]\begin{gathered} \text{slope = }\frac{4\text{ - (-1)}}{-4\text{ - 1}} \\ \text{Slope = }\frac{4\text{ + 1}}{-5} \\ \text{Slope = }\frac{5}{-5} \\ \text{Slope = -1} \end{gathered}[/tex]
Final answer
Slope = -1
