The Point Slope Form Of The Equation Of A Line
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42.5 – Notes
Math 71A – Prof. Beydler
Page 1 of 4
The Point-Slope Form of the Equation of a Line
Suppose we know a point on a line is (��
, ��
), and the slope
1
1
of that line is ��. Then any other point on the line (��, ��)
must satisfy the following equation:
We can rewrite this to get the _________________________
of the equation of a line:
So, if we know a _________________ on a line, and the _______________ of the line, we can use
point-slope form to get an equation of the line.
Ex 1.
Write the point-slope form of the equation of the line with slope 3 that passes through the point
( 1, −4 ) .
Now write the equation in slope-intercept form.
Ex 2.
A line passes through the points (3, −2) and (1,4). Find an equation of the line in point-slope form.
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