Question

Write the equation of the line that passes through the points (-3, 2 ) and - (- 1 , 6)

Answer 1

Given:

The two points given are,

`(-3,2),(-1,6)`

Required:

The equation of the line passing through given two points.

Step-by-step explanation:

Let the given two points be

`\begin{gathered} (x_1,y_1)=(-3,2) \\ (x_2,y_2)=(-1,6) \end{gathered}`

Therefore, by two-point form, the equation of the line passing through two points is given by,

`\begin{gathered} y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1) \\ \Rightarrow y-2=(6-2)/(-1-(-3))(x-(-3)) \\ \Rightarrow y-2=(4)/(2)(x+3) \\ \Rightarrow y-2=2(x+3) \\ \Rightarrow y-2=2x+6 \\ \Rightarrow y=2x+6+2 \\ \Rightarrow y=2x+8 \end{gathered}`

Final Answer:

The equation of the line passing through given two points is,

`y=2x+8`

First option is correct.