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Section 2-4: Writing Linear EquationsPowerPoint Presentation

Section 2-4: Writing Linear Equations

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Section 2-4: Writing Linear Equations

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- We have already seen standard form of an equation, but this form isn’t very useful.
- We are going to use slope-int. and point-slope form to write equations.

- y = ______ [ ____ = mx + b]
- Remember, MOST of the time we will still have ______ in the final equation.
- m is the _______
- b is the __________

x

y

- First (and easiest) b = ?
- b =
- m = ?
- m =
- y =

x

y

- b = ?
- b =
- m = ?
- m =
- y =

x

y

- b = ?
- b =
- m = ?
- m =
- y =

y = -4x + 3

m =

b =

y = 5 - 1/2x

m =

b =

8x + y = 3/4

m =

b =

4x - 2y = 10

m =

b =

y = -1/3x

m =

b =

y = 5

m =

b =

m = -3, b = 1

m = -2/5, b = -4

m = 0, b = 10

m = 1, b = 0

m = 0, b = 0

- To write the equation of a line, we need two pieces of information: ___________ ________________
- You should be able to get these from _________.

- Use this form if you are given _________, or a __________. (as long as the pt. isn’t b)
- ____________________
- (x1, y1) is one of the given points.
- Use the points to calculate m.

- the line goes through (3, 2) & (5, 4).
- m =
- choose either point, we’ll use (3, 2). Plug in 3 for ___ & 2 for ____.
- ____________

- y - 2 = 1(x - 3)
- Simplify.
- ______________
- add two to both sides
- __________

- m =
- plug either point.
- y - 3 =
- y =
- y =

- Because we know the y-int. (b), we only need the slope.
- m =
- y =