Standard form
Solve find the intercepts:
x-2y=-2
x=-2 y=1
write the parallel of the slope, 3/5
3/5
What does rate of change mean?
how one variable changes in relation to another variable, usually involves time
if it goes through the origan, is it direct variation?
yes
What is slope intercept form?
y=mx+b
Solve this:
3x+4y=24
x=8 y=6
is this line parallel or perpendicular?
2/3, -3/2
perpendicular
Is rate of change like slope?
Yes! They are very similar
determine weather this equation represents direct variation?
-8y=2x
yes
Find the slope and the y-intercept of the equation
y=3x-5
m=3 b=-5
What is the standard form equation
ax+by=c
What is the difference between parallel and perpendicular?
parallel lines have the same slope while perpendicular lines have opposite reciprocals of each other
Sally is writing a fantasy novel. After two nights, she has written six pages of her novel. After three nights, she has written nine pages of her novel. Assuming that she writes the same number of pages every night, what is the rate of change?
Three pages per night
What is direct variation?
represented by a function y=kx, doesn't have a add on. Starts at zero.
find the slope and the y-intercept of this equation
y=-5
m=0 b=-5
Change this into standard form:
3y=2x+12
2x-3y=-12
Find the slope of this line parallel to PQ and a line perpendicular to PQ
P(1,2), Q(3,4)
Parallel, m=1
perpendicular, m=-1
Calculate the rate of change:
Time - Distance
1 260
2 520
3 780
4 1040
260ft/1 min
does this represent direct variation? If so find the constant of variation
7y=2x
yes, it is k=2/7
write the equation of the line with the given slope (m) and y-intercept (b)
m=-5 b=-8
y=-5x-8
Change this into standard form:
12y=5x+7
5x-12y=-7
Is this parallel or perpendicular or neither?
2/7, 12/42
parallel
Calculate the rate of change:
Time(min) distance (ft)
2 256
4 512
6 768
128ft/1 min
Is this direct variation?
x y
2 -2.5
-7 8.75
5 -6.25
yes because the constant of variation is -1.25
y=-1.25x
write an equation in slope-intercept form of the line that passes through the two points (remember, "got slope? Got y-int?)
(-1,3) and (-3,1)
y=x+4