Which equation represents the line passing through the points (3, 2) and (–9, 6)?
Accepted Solution
A:
Answer:Step-by-step explanation:The equation of a linear function in point-slope form is y – y1 = m(x – x1)
The point is A (x1 , y1)
in this exercice : x1 = 3 and y1 =2
let A(3,2) B(-9,6)
the slope is : m = (YB - YA)/(XB -XA)
(6-2)/(-9-3) =4/(-12) = -1/3the slope is m = -1/3
The equation is : y – y1 = m(x – x1)
y-2 =-1/3 ( x-3)or : 3y-6 = -x+3