Forms of linear equations
What form is "y=mx+b"?
What is the y-intercept of the graph?
(0,4)
What is the slope of the linear equation?
y=-1/2x-8
How many harry potter books are there?
seven!
What is the slope? y-3=2x
2
What is standard form of linear equation?
Ax+By=C
What is the slope of the graph?
m=1
Write an equation in point slope form with a solution of (1,-4) and a slope of 1/3.
y+4=1/3=(x-1)
Ron ate 15 chocolate frogs in 3 hours, if he started off with 25 frogs, how many were eaten in the first two hours?
10 frogs
Who said " Happiness can be found even in the darkest of times, if one only remembers to turn on the light"
Professor Dumbledor
What is point slope form of a linear equation?
y-y1=m(x-x1)
What is the equation of the graph?
y=3/2x+3
Write the equation in slope intercept form.
y+8=2(x-3)
y+8=2x-6 *first distribute then subtract 8 from both sides
y=2x-14
Harry has 10,000 gold pounds in Gringotts Wizarding Bank, if he plans on spending 250 gold pounds each semester in the next five years (2 semesters per year), how much will he have left?
7,500 gold pounds
y-3=2(x+4)?
there is the ordered pair (-4,3) on the line, the 4 means the x value is -4
What is y=kx? and what does the k represent?
Direct variation, and k is the constant of variation also interpreted as the slope.
What is the equation of the graph in point slope form?
y-1=-2/3(x-3)
or...
y+1=-2/3(x-6)
there are infinitely many answers so they may vary...
Write the equation in standard form.
y+2=3(x-5)
y+2=3x-15 *distribute
y=3x-17 *subtract 2 from both sides
-3x+y=-17 subtract 3x from both sides
3x-y=17 multiplied everything by -1
final: 3x-y=17
Dobby has a total of 40 pairs of socks, if he ruins 3 pairs each year, write an equation representing how many total socks he has given how many years pass.
y=-3x+40 or y=40-3x
same thing
What is a mandrake?
Mandrake, or Mandragora, is a powerful restorative. It is used to turn people who have been transfigured or cursed to their original state. The cry of the Mandrake is fatal to anyone who hears it. Hermione Granger on the properties and abilities of the plant.
Convert Ax+By=C into slope intercept form.
y=(-A/B)x-(C/B)
What is the equation of the graph in Standard form?
3x+2y=6
Write an equation in slope intercept form given (-4,8) and a slope of 1/2.
*we have m we need b
8=1/2(-4)+b
8=-2+b
b=10
FINAL: y=1/2x+10
Dumbledore changed the rules for entering in Triwizard tournament. You need a down payment of $35 and need to pay $5 each level you compete in. Write an equation for how much money a student will pay in total (y) based on how many tournaments (x) the compete in.
Then find how much money they will spend competing in 4 levels.
y=5x+35
y=5(4)+35
y=20+35
y=55 $55 for 4 levels competed.
**desmos