Question

Please help . Consider the line that passes through each pair of given points,and decide what type of slope the line has? Choices are attached.

Answer 1

Answer:   (2,4) and (5,1) → Negative slope

(-7,8) and (-7,0) → Undefined slope

(3,5) and (-1,2) → Positive slope

(6,-3) and (-4,-3)  → Zero slope

Step-by-step explanation:

We know that the slope of a line passing through points (a,b) and (c,d) is given by :-

$m=\dfrac{d-b}{c-a}$

The slope of a line passing through points (2,4) and (5,1) is given by :-

$m=\dfrac{1-4}{5-2}=\dfrac{-3}{3}=-1$

⇒ Negative slope

The slope of a line passing through points (-7,8) and (-7,0) is given by :-

$m=\dfrac{0-8}{-7-(-7)}=\dfrac{-8}{0}$

⇒ Undefined slope

The slope of a line passing through points (3,5) and (-1,2) is given by :-

$m=\dfrac{2-5}{-1-5}=\dfrac{-3}{-6}=\dfrac{1}{2}$

⇒ Positive slope

The slope of a line passing through points (6,-3) and (-4,-3) is given by :-

$m=\dfrac{-3-(-3)}{-4-6}=\dfrac{0}{-10}=0$

⇒ Zero slope

Answer 2

(2/4) and (5,1) negative

(-7,8)and(-7,0) undefined

(3,5) and (-1,2) positive

(6,-3) and (-4,-3) zero