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28 Cards in this Set

  • Front
  • Back
PARALLEL LINES
are coplanar lines that DO NOT intersect
INTERSECTING LINES
are lines that meet at a distinct point
PERPENDICULAR LINES
are lines that intersect and form right triangles
TRANSVERAL LINE
is a line that intersects two coplanar lines in two points
SKEW LINES
are lines that do not lie in the same plane and are not parallel.
m= slope
Rise over Run
y/x
m= (formula)
y2 -y1
----------
x2 -x1
If x has SOME number (one number) creating a
VERTICAL LINE
the slope is UNDEFINDED

5/0 is also UNDEFINDED
can't divide by 0
HORIZONTAL LINES
ALL y values are the same
what is the slope?
the slope is ZERO
Rise & Run
________________________
POINT SLOPE FORM
y- y1 = m(x-x1)
Writing Equations of a line
NEED
*slope of the line
*a point that lies on the line (x1,y1)
WRITE AN EQUATION
slope = 2
passing through pts. (-3,4)
y-y1 = m(x-x1)
y-4 = 2(x - -3)
y-4= 2x + 6
y= 2x +10
WRITE an EQUATION
given two points
*first need to find the slope
Write and Equation of line with UNDEFINDED slope
Can't enter info into point-slope formula.
X=
LINEAR EQUATION
an Equation in one or two variables whose graph is a STRAIGHT LINE.
MOST POPULAR form of a linear equation
SLOPE INTERCEPT FORM
POINT INTERCEPT FORM
y= mx+b
Ax + By = C
is in STANDARD FORM


FROM STANDARD FORM
to
SLOPE INTERCEPT FORM
solve for y!
Slope= 2/5
b= 3 b is 3 when x is 0 (0,3)
y = 2/5x + 3
HORIZONTAL LINE
SLOPE OF ZERO
VERTICAL LINE
SLOPE IS UNDEFINED
LINEAR EQUATIONS
4x + 8y = 16
8y=16- 4x
y= 16/8 - 4/8x
y= 2 - 1/2x
y= -1/2x +2
y= 3x + 2
m= 3 Slope of 3
(0,2) 2 is the y-intercept
y= -3x +4
what is the slope?
RISE over RUN
-3 = -3/1
LINEAR RELATIONSHIPS
Real world Problems
x and y
rise/ run
y/ x
Independant/ Dependent
rate of change in something
DEPENDENT
X

(dependent on y)
INDEPENDENT
Y

(independent from x)