437,150 views
43 votes
43 votes
Write the equation of the line passing through the points (-7, 3) and (7,1)

User Rajian
by
2.5k points

1 Answer

14 votes
14 votes

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

User Symfrog
by
3.0k points