Question

(10,4)(-10,0) what is the linear equation

Answer 1

Let,

`\begin{gathered} (x_1,y_1)=(10,4) \\ (x_2,y_2)=(-10,0) \end{gathered}`

The expression that represents the equation of line passing through given pair of points is,

`\frac{y-y_1}{y_{2_{}}-y_1}=(x-x_1)/(x_2-x_1)`

Substitute values in the above expression.

`\begin{gathered} (y-4)/(0-4)=(x-10)/(-10-10) \\ (y-4)/(-4)=(x-10)/(-20) \\ y-4=-4*(x-10)/(-20) \\ y-4=(x-10)/(5) \\ 5y-20=x-10 \\ x-5y-10+20=0 \\ x-5y+10=0 \end{gathered}`

Thus, the equation of the line passing through the points (10,4) & (-10,0) is x-5y+10=0.