Question

Find the equation of the line through the given points (-3,-4) and (5,-4)

Answer 1

The general form of the equation of the line through the points

`(x_1,y_1)\text{ }(x_2,y_2)`

is

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

Here, take the points as

`(x_1,y_1)=(-3,-4),(x_2,y_2)=(5,-4)_{}`

Substitute these values in the above formula:

`\begin{gathered} y-(-4)=((-4-(-4)))/(5-(-3))\cdot(x-(-3)) \\ y+4=(0)/(8)\cdot(x+3) \\ y+4=0 \\ y=-4 \end{gathered}`

So, the required line equation is

`y=-4.`