Point-Slope Formula, Different Forms Of Linear Equations Worksheet By Nicholas Husen, Math 095

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Math 095 Notes
Instructor: Nicholas Husen
Section 3.5, 3.6
Point-Slope Formula
Writing an equation of a line using Point-Slope Formula
Here are two ways to derive the point-slope formula.
1. Suppose we have a line. Then we have
y
y
2
1
slope = m =
x
x
2
1
for any points on our line, (x
, y
) and (x
, y
).
1
1
2
2
In particular, suppose we have a point on our line, (x
, y
), but we allow
1
1
a point (x, y) to be any other point on our line. Then the slope of our
line is given by
y
y
0
m =
.
x
x
0
2. Begin with y = mx.
1

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