Question

Write the equation of the line passing through the points (-7, 3) and (7,1)

Answer 1

Given:-

`(-7,3)(7,1)`

To find:-

The equation of the line passing through the point.

So first we find the value of the slope m. we use the formula,

`m=(y_2-y_1)/(x_2-x_1)`

Now we substitute the given values, so we get,

`m=(1-3)/(7-(-7))`

Simplifying we get,

`\begin{gathered} m=(1-3)/(7-(-7)) \\ m=(-2)/(14) \\ m=-(1)/(7) \end{gathered}`

So the value of slope m is -1/7.

Now we find the equation. we use the formula,

`y=mx+c`

Substtuing any one point we get,

`\begin{gathered} 3=-(1)/(7)*-7+c \\ 3=1+c \\ 3-1=c \\ c=2 \end{gathered}`

So the required equation is,

`y=-7x+2`