Question

Find the equation of the line using the given information.(x, y) = (−8, 0) and (x, y) = (−8, 6) are points on the line

Answer 1

Explanation

We are required to determine the equation of the line with the given information below:

`\begin{gathered} (x_1,y_1)=(-8,0) \\ (x_2,y_2)=(-8,6) \end{gathered}`

We know that the equation of a line is given as:

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

Therefore, we have:

`\begin{gathered} (y-y_(1))/(x-x_(1))=(y_(2)-y_(1))/(x_(2)-x_(1)) \\ (y-0)/(x-(-8))=(6-0)/(-8-(-8)) \\ (y)/(x+8)=(6)/(0) \\ \text{ Cross multiply} \\ 6(x+8)=0 \\ \text{ Divide both sides by 6} \\ (6(x+8))/(6)=(0)/(6) \\ x+8=0 \\ x=0-8 \\ x=-8 \end{gathered}`

Hence, the equation of the line is:

`x=-8`