Document Sample

```					  Linear Equations

Slope-Intercept and Standard
Form
Slope-Intercept Form
• Any linear equation can be solved for y
and written like this:

• This form of a linear equation is called
______-_________ form.
Slope-Intercept Form

• The “m” represents the _____ of the
line.

• It is often convenient to write the slope
as a fraction, since slope is defined
as...
Slope-Intercept Form

• The “b” represents the __-__________.

• (Which is where the line crosses the __-
_____.)

• It is important to pay attention to the
signs of both m and b!
y = 3x - 5
• Can you determine the slope and the y-
intercept of this equation?

• The slope is ___

• Which we might choose to write as ___
• (to make the “rise” and “run” more obvious)
y = 3x - 5

• You didn’t miss the negative sign did
you?

• We can graph this equation by first
plotting the y-intercept, then plotting a
second point found via the slope!
y = 3x - 5
• Could you sketch
the graph?

• First plot the y-
intercept.

• The “rise” is __.
• The “run” is __.
3x + 2y = 4
• Re-write the equation in slope-intercept
form.
• Solve for y. Put the “x” term first on the
right side of the equation.

• The slope is ___ and the y-int is ___.
y = -3/2x + 2
• Now graph the linear equation.
Writing a Linear Equation
• Suppose you were given a point on a
line and a slope. Could you write the
equation of the line?

• How could you find the y-intercept?
m = 2/3 and the line contains (-3,-2)
• Since we know the slope and at least
one value of x and y that makes the
equation true, we can simply substitute
and solve!
Writing a Linear Equation
• Now we know both the slope and the y-
intercept. Can you write the equation in
both slope-intercept and standard
form?
• Write the equation in slope-intercept
form.

```
DOCUMENT INFO
Shared By:
Categories:
Tags:
Stats:
 views: 0 posted: 10/1/2012 language: Unknown pages: 12