find an equation of the line containing the given pair of points (2,3) and (6,5)?
asked Jun 6, 2011 in Algebra 1 Answers by anonymous

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2 Answers

If we take the rise over run of these two points we can find the slope of the line. up 2 and over 4

2/4=1/2

So if y=mx+b is the equation of a line where m=slope and b=y-intercept we can plug in the slope

y=1/2x+?

Now we just need to know where the line crosses the y intercept.  Graph points using the slope until you find the point where the y value is 0

from the point 2,3 we go down 1 and to the left 2 to get (0,2) which gives the y intercept as 2 since the value for x is 2 when the value for y is 0

So the equation for the line would be y=1/2x+2

Here is a graph of the line.

graph of the line y=1/2x+2 with points (2,3) (6,5)

answered Jun 6, 2011 by mathisfun Level 4 User (5,340 points)
Find the slope by finding rise over run. (5-3)/(6-2)= 1/2
(-2,-6) (-9,-1)
answered May 21, 2012 by anonymous
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