Question 29050: Find the slope of the line passing through the points (–4, 1) and (–4, 4).
Answer by sdmmadam@yahoo.com(530)   (Show Source):
You can put this solution on YOUR website! Find the slope of the line passing through the points (–4, 1) and (–4, 4).
Observe that the two given points are
points on the vertical line
x= -4
(with one point 1 unit above the x-axis
and the other point 4 units above the x-axis on this line)
Any line vertical (parallell to the y-axis) is perpendicular to the x-axis and hence makes 90 degrees with the x-axis and tan(90) is infinity and hence slope of the given line is infinity.
Note; If you wish to apply the formula for slope of the line joining two given points P(x1,y1) and Q(x2,y2) given by
slope = (y2-y1)/(x2-x1)
here the given points being P(–4, 1) and Q(–4, 4)(with x1=-4,y1=1;x2=-4,y2=4
and therefore slope =(4-1)/[(-4)-(-4)]= 3/(-4+4)=3/0 = infinity
Note: Please draw the line and understand. It is much easier that way. I am sorry I don't have the facility to draw the diagram in the answer box!
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