Question

Find the equation of the line using the given information.

Answer 1

Answer:

x 1 = -3  

x2 = -3

y1 = 0

y2 = 5

The slope of that equation is infinite and the equation is a perfectly vertical line at x = -3.

So, the equation is x = -3.

Step-by-step explanation:

Answer 2

Given parameters:

The coordinates of points on the line;

  (x, y) = (-3,0) and (x, y) = (-3, 5)

Unknown;

The equation of the line = ?

The equation of a line is usually expressed in the form y = mx + c

  Where;

     y and x are the coordinates

      m is the slope

      c is the y-intercept

Now we need to first find the slope of the line.

    Slope  = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$  

       (x₁, y₁) = (-3,0) and (x₂, y₂) = (-3, 5)

Input the parameters and solve;

     Slope = $\frac{5 - 0}{-3 -(-3)}$   = infinity

The line has an infinite slope.

The equation of the line is therefore x  = c

         x  = -3