Question

What is the slope of (-1,6) and (2,3)?

Answer 1

Answer:

-1

Step-by-step explanation:

For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:

$\boxed{ \mathsf{slope = \frac{ y_{2} -y _{1}}{ x_{2} - x _{1}} }}$

Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).

Solving for slope:

$\implies \mathsf{ \frac{3 - 6}{2 - ( -1 )} }$

$\implies \mathsf{ \frac{ - 3}{2 + 1 } }$

$\implies \mathsf{ \frac{ - 3}{3 } }$

$\implies \mathsf{ - 1 }$

Hence, the slope of the line joining the given points is -1.