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

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Here, take the points as

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

Substitute these values in the above formula:

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

So, the required line equation is

$y=-4.$