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Horizontal line
zero slope
0/run

Vertical line
undefined slope
rise/0

Slope
rise/run
the measure of the steepness of a line

PointSlope Form
y  y_{1} = m(x  x_{1})
m is the slope of the line
(x_{1},y_{1}) are the coordinates of the point the line goes through

SlopeIntercept Form
y = mx + b
m is the slope of the line
b is the yintercept

Standard Form of a Linear Equations
Ax + By = C
Slope is not given by this form directly .
 You must solve the equation for y =,
 then m = A/B.

Slope Formula
 y_{2}  y_{1} = m
 x_{2 } x_{1}
This is the formula to find the slope of a line given two points.

Parallel lines
Parallel lines are two lines that never intersect.
Their slopes are equal.

Perpendicular Lines
Perpendicular lines are two lines that intersect at right angles.
Their slopes are opposite reciprocals of each other.
The product of their slopes equals 1.

What is the slope of y = 3x + 4?
m = 3

What is the slope of x = 5?
Undefined slope
The line is vertical.

What is the slope of a line parallel to
y = 2x  7?
m = 2
The slopes are the same.

What is the slope of
4x + 3y = 12?
m = 4/3
The equation is y = 4/3 x + 4

What is the slope of y = 11?
zero
The line is horizontal.

What is the slope of a line with the equation:
y + 4 = 0.5(x + 3)?
m = 0.5
The line goes through (3, 4).

What is the slope of a line perpendicular to 4x  3y = 15?
The slope of this line is 4/3, so the perpendicular slope is the opposite reciprocal: 3/4.

What is the slope of a line through
(2, 4) and (0, 3)?

