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=
`( 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

Explanation:

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

`\text{Slope}=(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}=(-2-4)/(-1-(-4))=(-6)/(-1+4)\\\\=(-6)/(3)=-2`

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