SOLUTION: How do I write the equation of the line passing through (3,10) and (3,-3)

Algebra ->  Graphs -> SOLUTION: How do I write the equation of the line passing through (3,10) and (3,-3)      Log On


   



Question 80716: How do I write the equation of the line passing through (3,10) and (3,-3)
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You can start with the slope-intercept form of a linear equationL y+=+mx%2Bb where: m is the slope and b is the y-intercept.
First find the slope of the line passing through the two given points (3, 10) and (3, -3):
m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Making the appropriate substitutions:
m+=+%28-3-10%29%2F%283-3%29
m+=+-13%2F0 This is undefined so the slope is undefined which means that the line is a vertical line.
The equation of this vertical is therefore:
x+=+3