Question

What is the slope of the line between (−4, 4) and (−1, −2)? a. 1 b. 2 c.−2 d. −1

Answer 1

M= $\frac{ Y_{2}- Y_{1} }{X_{2}-X_{1}}$

m= (-2 - 4) / (-1 - -4)
m= -6 / (-1 + 4)
m= -6 / 3
m= -2

the slope is -2 (C.)

Answer 2

Answer: C. -2

Step-by-step explanation:

The slope of a line passing through (a,b) and (c,d) is given by :-

$\text{Slope}=\dfrac{d-b}{c-a}$

The given points : (-4, 4) and (-1, -2)

Then, the  slope of the line passing through(-4, 4) and (-1, -2) is given by :-

$\text{Slope}=\dfrac{-2-4}{-1-(-4)}=\dfrac{-6}{-1+4}\\\\=\dfrac{-6}{3}=-2$

Hence, the slope of a line with endpoints (-4, 4) and (-1, -2) =-2.