objective for day:2- students will be able to write linear equations of a line using data from a line of best fit.
The equation of a line is typically written as
y=mx+b where
m is the slope and
b is the y-intercept.
,to find an equation you may use the formula-
|
change in y |
= |
yA - yB |
|
|
change in x |
xA - xB |
|
|
|
|
|
|
which will give you your data to write your equation |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| Example:
Slope m = |
|
= |
|
=1/4 |
|
|
|
|
|
|
y - 3 = (1/4)(x - 2) |
|
|
|
|
|
That is an acceptable answer, but we could simplify it further:
y - 3 = x/4 - 2/4
y = x/4 - ½ + 3
y = x/4 + 5/2
|
|
|
|
|
|
other examples: http://www.youtube.com/watch?v=DodGaoJi25E solve-Write the standard form of the equation of the line through the given point with the given slope.
9) through: (1, 2), slope = 7 10) through: (3, −1), slope = −1
11) through: (−2, 5), slope = −4
12) through: (3, 5), slope =
5
3
-1- answer key-Write the standard form of the equation of the line through the given point with the given slope.
9) through: (1, 2), slope = 7
7
x −
y = 5
10) through: (3, −1), slope = −1
x +
y = 2
11) through: (−2, 5), slope = −4
4
x +
y = −3
12) through: (3, 5), slope =
5
3
5
x − 3
y = 0
-1- | | |
|
|
|
|
|
|
|
|
|
|
|
|
|
I like representations you use. They look nice.
ReplyDelete