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Graphing
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Gravity
Terms in this set (30)
vertical line
VUX, up and down, undefined slope, x=#
horizontal line
HOY, left and right, zero slope, constant function, y=#
positive slope
from L to R, goes up
negative slope
from L to R, goes down
zero slope
constant function, horizontal line
undefined slope
vertical line, not a function
y-intercept
where the line intersects the y-axis, (0,#), starting amount, initial value, b
x-intercept
where the line intersects the x-axis, (#,0)
slope
unit rate, rate of change, change y/change x, vertical change/horizontal change, rise/run, m, steepness of a line
standard form of an equation
ax+by=c
to graph from standard form:
1) Find x and y intercepts
2) Plot intercepts
3) Connect points
to find an x-intercept in standard form
1) Cover y term of equation
2) Solve for x
3) (#, 0)
to find a y-intercept in standard form
1) Cover x term of equation
2) Solve for y
3) (0,#)
slope-intercept form of an equation
y=mx+b
m stands for
slope
b stands for
y-intercept
standard form easily gives us
x-intercept and y-intercept
slope-intercept form gives us
slope and y-intercept
to graph from slope-intercept form
1) Identify slope and y-intercept
2) Plot y-intercept
3) Use slope to count change y/change x to plot other points
4) Connect points
to convert from standard form to y-intercept form
1) move x-term from left to right side using addition or subtraction
2) isolate y by dividing by its coefficient
3) simplify
>
greater than, dashed line, shade above
<
less than, dashed line, shade below
≥
greater than or equal to, solid line, shade above
≤
less than or equal to, solid line, shade below
describe: y=x
slope (m) = 1, y-intercept (b) = 0.
starts at the origin, then goes up one and right one.
slanted
describe: y=-3
HOY
horizontal line
zero slope
y-intercept at (-3,0)
crosses the y-axis at -3
does not cross the x-axis
describe: x=5
VUX
vertical line
undefined slope (not a function)
x-intercept at (5,0)
crosses the x-axis at 5
does not cross the y-axis
describe: y=2x-3
slanted line
slope (m) is 2
y-intercept (b) is -3
starts at point (0,-3)
then go up 2 and right 1. Repeat.
find the x- and y-intercepts: 4x - 3y = 24
cover y:
4x = 24
x = 6
(6, 0)
cover x:
-3y = 24
y = -8
(0, -8)
find the slope: 5x - 10y = 20
convert to slope-intercept form:
5x - 10y = 20
- 10y = -5x + 20
y = -5/-10x + 20/-10
y = 1/2 x - 2
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