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♥ INTERNET EXPLORER 6.0 and above, with MathPlayer installed.♥
POINT-SLOPE FORM
Jump right to the exercises!
Suppose a line has slope m and passes through the point
(
x1
,
y1
)
.
If
(x,y)
is any other point on the line,
then
m=
y-
y1
x-
x1
or, equivalently,
y
-
y
1
=
m
(
x
-
x
1
)
.
|
This equation
y
-
y
1
=
m
(
x
-
x
1
)
is called POINT-SLOPE FORM because it is ideally suited
to the situation where you know the slope m and a point
(
x1
,
y1
)
on the line.
|
EXAMPLES:
Question: Write the point-slope equation of the line with slope 5 that passes through the point
(3,-2) .
Then, write the line in
y
=
mx
+
b
form.
Answer:
y
-
(
-
2
)
=
5
(
x
-
3
)
, which simplifies to
y
+
2
=
5
(
x
-
3
)
y
=
mx
+
b
form:
y
=
5x
-
17
On this exercise, you will not key in your answer.
However, you can check to see if your answer is correct.