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chapter 7 proportion (problems (7.38 (get better variables), 7.45, 7.43…
chapter 7 proportion
problems
7.38
get better variables
7.45
7.43
separate constants
7.47
draw a diagram
7.49
directly proportional
So x/y is always the same
inversely proportional
x*y is always the same
jointly proportional
So x/yz is always the same
rate * time = distance
graphing lines
graphing
forms of equation
\(y=mx+c\)
slope-intercept
c is y intercept
m is slope
Ax+By=C
standard form
slope -A/B
\(y-y_1=m(x-x_1)\)
point slope
slope
\(\frac{rise}{run}\).
negative, positive, 0 or undefined
plot 3 points
x and y intercepts
point where cross x or y axis
comparing lines
parallel lines have same slope
perpendicular multiplies to -1
represent numbers
number line
arrows meaning continues forever
absolute value
distance from 0
or magnitude
Cartesian plane
x coordinate
middle called origin
abscissa
y coordinate
ordinate
lattice points have integer coordinates
pythagorean theorem
distance formula
problems
8.60
use distance formula convert to distance between points
8.57
point slope