Question

A line passes through (−1, 7) and (2, 10).

Which answer is the equation of the line?

Answer 1

The correct answer is: [B]: " -x + y = 8 " .
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Answer 2

Option 2 -
`-x+y=8`

Explanation:

Given : A line passes through (-1, 7) and (2, 10).

To find : Which answer is the equation of the line?

Solution :

The two point slope form is given by,

`(y-y_1)=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Here,
`(x_1,y_1)=(-1,7)` and
`(x_2,y_2)=(2,10)`

Substitute the value in the equation,

`(y-7)=(10-7)/(2-(-1))(x-(-1))`

`(y-7)=(3)/(3)(x+1)`

`(y-7)=1(x+1)`

`y-x=1+7`

`-x+y=8`

Therefore, Option 2 is correct.