Answer:
y = 2/3x - 6
Step-by-step explanation:
The equation of a line is
y = mx + c
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given two points
( 6 , -2) ( -12 , -14)
x1 = 6
y1 = -2
x2 = -12
y2 = -14
m = ( -14 -(-2) / ( -12 - 6)
m = ( -14 + 2) / ( -12 - 6)
= -12/-18
Minus cancels minus
= 12/18
We can simply further using 6 to divide
= 2/3
m = 2/3
y = 2/3x + c
Step 2 : sub any of the two points given into the equation
let's pick ( 6 , -2)
x = 6
y = -2
y = 2/3x + c
-2 = 2/3(6) + c
-2 = 2 * 6 /3 + c
-2 = 12/3 + c
-2 = 4 + c
c = -2 - 4
c = -6
y = 2/3x - 6
The equation of the line is
y = 2/3x - 6
