Question

Which is the equation of a trend line that passes through the points (7, 450) and (14, 401)?

Answer 1

y = -7x + 499

Answer 2

Answer:
`y+7x=499`

Explanation:

The equation of a line passes through the points (a,b) and (c,d) is given by :-

`(y-b)=(d-b)/(c-a)(x-a)`

Hence, the equation of a line passes through the points (7, 450) and (14, 401) is given by :-

`(y-450)=(401-450)/(14-7)(x-7)\\\\\Rightarrow y-450=(-49)/(7)(x-7)\\\\\Rightarrow y-450=-7x+49\\\\\Rightarrow y+7x=49+450\\\\\Rightarrow y+7x=499`