Question

• Write the equation of the line that passes through the points (0,7) and(-2,7). Put your answer in fully reduced point-slope form.

Answer 1

The point-slope form of the equation of the line passing through points (x₁,y₁) and (x₂,y₂) is:

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

where the slope m is given by:

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

So, for the line passing through the points (0,7) and (-2,7), we have:

$\begin{gathered} x_1=0 \\ y_1=7 \\ x_2=-2 \\ y_2=7 \end{gathered}$

Thus, we obtain:

$m=\frac{7-7}{-2-0}=0$

Therefore, the equation of this line is:

$y-7=0(x-0)$