Algebra 1
6.5 (day 1) ‐ Point Slope Form and Writing Linear Equations
A. Point‐Slope Form
•
A linear equation is in point‐slope form if it is in the form y ‐ y
= m(x ‐ x
1
1
where m is the slope, y
is the y‐coordinate of the ordered pair, and x
is the
1
1
x‐coordinate of the ordered pair.
•
Point‐Slope form is convenient to use when writing the equation of a line
given a point that the line crosses and slope of that line.
Point Slope: y ‐ y
= m (x ‐ x
)
1
1
•
m is slope, y
is they‐coordinate of the point the line intersects and x
is
1
1
the x‐coordinate of the point the line intersects
•
The subtraction signs ( ‐ ) are a part of the formula. Therefore if a line
crosses the point (2,5) with a slope of 4 the equation in point slope form will
be y ‐ 5 = 4(x ‐ 2)
Q: What will the equation of the line passing through (‐3, ‐7) with a slope
of 2 be?
A:
Jan 2610:40 AM
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