__Slope__

__Slope:__ the slant of a line -- the
ratio of the change in the y-axis to the change in the x-axis between two points
on a line

PROPERTY OF STRAIGHT LINES: SLOPE REMAINS CONSTANT

**Any two points will have the same slope.**

**Some people like to think of slope as:**

rise_{
}
__
__ run

**Others think of it as:**

y_{2} - y_{1
}x_{2} - x_{1}

in which y_{2} and y_{1}
are the two y coordinates and x_{2} and x_{1} are the two x
coordinates. Remember: y_{2 }and x_{2} must be from the
same point, as x_{1} and y_{1} must be (there is point 1 and
point 2).

**Example:**

Let us take the equation we had...**x + y = 4**

The graph was:

Let's pick 2 points from this line...(1,3) and (4,0)

x_{1} = 1, x_{2} = 4

y_{1} = 3, y_{2} = 0

x_{2 }- x_{1
}4 - 1_{
}3_{
}_{
}=_{ }
_{}_{
}= _{
}= -1__ _{
}__y

** "m" denotes slope....so in this equation, m = -1

**Often slope IS A FRACTION...this turned out to be an integer.**

__AS A RULE OF THUMB:__ Any line going up on the left will have a
negative slope...any line going up on the right will have a positive slope.

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