Question

Determine the equation of the line passing through the points (0,−4) and (−1,−4).

Answer 1

Given:

There are given two points:

$(0,-4),(-1,-4)$

Explanation:

According to the question:

We need to write the equation of a line.

So,

To find the equation of the line, first, we need to find the value of the slope.

So,

From the formula of slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

Where,

$x_1=0,y_1=-4,x_2=-1,y_2=-4$

Put all the values into the given slope formula:

So,

$\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m=\frac{-4+4}{-1-0} \\ m=0 \end{gathered}$

Now,

From the formula to find the equation of line:

So,

$y-y_1=m(x-x_1)$

Then,

$\begin{gathered} y-y_{1}=m(x-x_{1}) \\ y-(-4)=0(x-0) \\ y+4=0 \\ y=-4 \end{gathered}$

Final answer:

Hence, the equation of lie is shown below:

$y=-4$