How do you find the equation of the line that goes through #(1,- 3)# and #( 0,8)#?
2 Answers
Explanation:
First, we find the slope using
Therefore,
To get the line, the equation would be
We will put in
Therefore, the line will be
Explanation:
For a straight line the slope between any two points is the same for all pairs of points on the line.
By slope we mean the ratio of the difference between the
For a general point
we have
and
for the two given points
we have
Since the slope must be the same for all pairs of points on a straight line
While is is a valid equation that answers the given question, it would be normal to convert this into standard
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When doing this kind of problem it is always a good idea to verify that the derived equation satisfies the given points:
For
and
for