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Lesson mb to standard noAB
Contributed by: Pappal
The slope-intercept form
The slope-intercept form
y = mx + b
The slope-intercept form
y = mx + b
always has y...
The slope-intercept form
y = mx + b
always has y...
...absolutely...
The slope-intercept form
y = mx + b
always has y...
...absolutely...
...totally...
The slope-intercept form
y = mx + b
always has y...
...absolutely...
...totally...
...all by itself.
The slope-intercept form
y by itself
y = mx + b
always has y...
...absolutely...
...totally...
...all by itself.
The standard form
The standard form
Ax + By = C
The standard form
Ax + By = C
always has...
The standard form
Ax + By = C
always has...
x and y on one side,
x and y on one side
The standard form
Ax + By = C
always has...
x and y on one side,
The standard form
Ax + By = C
and everything else on the other side
always has...
x and y on one side,
The standard form
Ax + By = C
and everything else on the other side
always has...
x and y on one side,
everything else

2x + 3y = 4

Standard
?
Match the equation with its form.
Slope-intercept
?
y = 2x + 5
an equation
To change any equation
x + y = 5
To change any equation
x + y = 5
into slope intercept form
To change any equation
x + y = 5
into slope intercept form
y = mx + b
To change any equation
x + y = 5
into slope intercept form
y = mx + b
you have to get y by itself
This y needs to be alone
To change any equation
x + y = 5
into slope intercept form
y = mx + b
you have to get y by itself
To do this we use Algebra
To do this we use Algebra
x + y = 5
To do this we use Algebra
x + y = 5
we need to get y by itself
so we need to get rid of the x
To do this we use Algebra
x + y = 5
we need to get y by itself
To do this we use Algebra
-x
x + y = 5

-x

subtract x on both sides
To do this we use Algebra
-x
x + y = 5

-x

subtract x on both sides
to get rid of the x
To do this we use Algebra

x - x

cancels

-x
x + y = 5

-x

subtract x on both sides
to get rid of the x
To do this we use Algebra

x - x

cancels

Leaving just y on that side
-x
x + y = 5
y =

-x

subtract x on both sides
to get rid of the x
To do this we use Algebra
are not like terms
since 5 and -x
-x
x + y = 5
y =

-x

subtract x on both sides
to get rid of the x
we can't add them
To do this we use Algebra
are not like terms
since 5 and -x
-x
x + y = 5
y =

-x

subtract x on both sides
to get rid of the x
we can't add them
To do this we use Algebra
are not like terms
since 5 and -x
-x
x + y = 5
y = -x + 5

-x

leaving us with this
subtract x on both sides
to get rid of the x
To do this we use Algebra
The y is by itself now
-x
x + y = 5
y = -x + 5

-x

To do this we use Algebra
so this equation is in slope-intercept form
The y is by itself now
-x
x + y = 5
y = -x + 5

-x

standard equation
We changed this
x + y = 5
y = -x + 5
standard equation
We changed this
x + y = 5
y = -x + 5
slope-intercept equation
into this
y =
2x + y = 3
x
+
y =
-2x + y = -5
x
+
y =
4x + y = 7
x
+
x + y =
y = -2x +5
x + y =
y = 4x +12
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