Question 909350: ``I need to write an equation of each line passing through the given point pairs, please help me learn the steps
(7,3) and (-6,2)''.
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! 2 points determine a line, we are given
(7,3) and (-6,2)
the standard form of a line is y = mx + b, where m is the slope and b is the y intercept
m is defined as (y2 - y1) / (x2 - x1), in our example
m = (2 - 3) / (-6 -7) = -1/-13 = 1/13
so far we have
y = x/13 + b
to find b we pick a point on the line and solve for b, let's pick the first point, (7,3)
3 = 7/13 + b
convert 3 to a fraction of 13's
39/13 = 7/13 + b
now subtract 7/13 from both sides of =
b = 32/13
the formula for our line is
y = x/13 + 32/13
note that there is only one line
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