Question

What is the slope of the line passing through the points (−3, 4) and (4, −1)?

Answer 1

Note:
The slope of a straight line passing through the points (x₁, y₁) and (x₂, y₂) is 
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

The two given points are (-3,4) and (4,-1). Therefore the slope is
$m= \frac{-1-4}{4-(-3)} = \frac{-5}{7}$

Answer: $- \frac{5}{7}$