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=(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=(7-7)/(-2-0)=0`

Therefore, the equation of this line is:

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