Question

What is the slope of a line that passes through (–12,15) and (0,4)?       

A.-12/11   B. 11/12   C. -11/12   D. 12/11

Answer 1

Answer: The slope is:
`-(11)/(12)` .
__________________________________________________
Step-by-step explanation:
__________________________________________________
Given two points on the line: (x₁, y₁) ; and: (x₂, y₂) ;

which are given: (-12, 15) and (0, 4) ; in which:
________________________________________________________
x₁ = -12 , y₁ = 15 , x₂ = 0, y₂ = 4 ;
_______________________________________________________
The slope, "m", is calculated as follows:
_______________________________________________________
m = (y₂ − y₁) / (x₂ − x₁) = (4 − 15) / [0 − (-12)] ;
= (4 − 15) / (0 + 12) ;
= -11 / 12 .
_______________________________________________________
The slope, "m" is: - 11/12 .
_______________________________________________________