SOLUTION: Write an equation of the line which passes through these points (0, -4) and (0, 8)

Algebra ->  Linear-equations -> SOLUTION: Write an equation of the line which passes through these points (0, -4) and (0, 8)      Log On


   

Question 315771: Write an equation of the line which passes through these points
(0, -4) and (0, 8)
Found 2 solutions by jim_thompson5910, Edwin McCravy:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since the 'x' coordinate is zero for both points, this means that a vertical line of the form x=k goes through these points. In this case, k=0 because the x coordinate is zero. So the equation of the line that goes through the points (0, -4) and (0, 8) is x=0

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation of the line which passes through these points
(0, -4) and (0, 8)


Let's plot those two points:



As you see those two points are on the y-axis, so if we connect
them, the line will coincide with the y-axis -- in fact the line 
IS the y-axis.  So we want the equation of the y-axis.  Look at 
a couple more points on that line, the y-axis, say (0,5) and (0,-7). 



Notice that all those point have 0 for their x-coordinate.  Every point
on the y-axis has its x-coordinate 0, so the way the equation is made
is to state that fact in an equation about all the x-coordinates being
0.  The equation that says that is:

     x = 0

That is the equation of the y-axis, because every point on the y-axis
has its x coordinate as 0.

Edwin