Question

Write the slope form of the equation of the line through the given points.

Answer 1

3)

Given that the line passes through (-5, -5) and (-5, 3).

We have to find the slope form of the equation.

The equation passes through (x1, y1) and (x2, y2) is given by:

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

So, the required equation is:

`\begin{gathered} y-(-5)=(3-(-5))/(-5-(-5))(x-(-5)) \\ y+5=(8)/(0)(x+5) \\ 0=8(x+5) \\ 0=x+5 \\ x=-5 \end{gathered}`

Thus, the equation of the line passes through (-5, -5) and (-5, 3) is x = -5.