Ax+By=C what is the result if A=0
umm if you plug in 0 for A then (0)x + By = C so By = C then divide both sides by B so that y = C/B
Thankss !
you're welcome :)
What it'd be if B=0?
same idea :) if you plug in 0 for B then Ax + (0)y = C so Ax = C then divide both sides by A so that y = C/A
Oh I knew that...... :\ what kind of graph would it be tho ?
if A = 0 it would be y = something so it would be a horizontal if B = 0 it would be x = something so it would be vertical
OMG Thankss ! :D
you're welcome :)
Do you know this if the x-intercept of the graph of 2x+6y=4 is 2 is that true or false ?
x intercept is when y = 0 so when you plug in 0 for y 2x + 6(0) = 4 so 2x = 4 then divide both sides by 2 so x = 2
Thanks !! sorry if i ask to much ! but do you know .. If the y-intercept of the graph of x-2y=7 is 3.5
y intercept is when x = 0 so plug in 0 for x so (0) - 2y = 7 -2y = 7 then divide both sides by -2 so y = -7/2 = negative 3.5
Thankss !!! Can you help me on how to find slope ?...
sure :) rise ( y2 - y1 ) slope = ----- = ---------- run ( x2 - x1 ) when given points (x1, y1) and (x2, y2)
Yeah like i have the point (-2,5), (8,-4)
ok then rise ( y2 - y1 ) ( (-4) - (5) ) ( -9 ) slope = ----- = ---------- = ----------- = ----- run ( x2 - x1 ) ( (8) - (-2) ) ( 10 )
if you're wondering where the numbers came from: (x1, y1) and (x2, y2) (-2 , 5) and (8 , -4) ^ ^ ^ ^ that's how I matched them up :)
Thanks !! what if the points are (6,-2), (-3,7)
(x1, y1) and (x2, y2) (6 , -2) and (-3 , 7) so rise ( y2 - y1 ) ( (7) - (-2) ) ( 9 ) slope = ----- = ---------- = ----------- = ----- = -1 run ( x2 - x1 ) ( (-3) - (6) ) ( -9 )
Thanks ! how would you write (10,1); m=1/5 in point slope form ?
point slope form: y - y1 = m(x - x1) when given m = slope and point (x1, y1) so plug in m = 1/5 and x1=10 and y1=1 into y - (y1) = (m) (x - (x1) )
so it'd be y-(10)=(1/5)(x-1) right ?
close :) y - (1) = (1/5) (x - 10)
Oh i see I read it wrong lmao
yep ^.^
Yeah how would you write an equation in slope intercept form if the points are (-2,2) and (2,-8)
well first find the slope :) give it a try
wait how do we find the slope again i forgot ...
rise ( y2 - y1 ) slope = ----- = ---------- = run ( x2 - x1 )
when given points (x1, y1) and (x2, y2)
oh yeahh thanks !!
how do you know which one is x1 and x2 and y1 and y2
whatever way it lines up :P (x1, y1) and (x2, y2) (-2, 2 ) and ( 2, -8)
Ohhh i feel dumb lmao
lol it's fine :) just be careful to not mess up that something like 2 - (-2) = 2+2
the slope is -10/4 right ....?
yep! :) which can be simplified to -2.5 then slope intercept form is y = mx + b where m = slope so when m = -2.5 y = -2.5x + b but then we need to find b so we temporarily plug in a given point like (-2, 2) so 2 = (-2.5)(-2) + b solve for b
how would we solve for b?
2 = (-2.5)(-2) + b 2 = 5 + b then subtract 5 from both sides to get b
so -3=b
yep :) which we plug back into y = -2.5x + b to get y = -2.5x - 3 tah-dah! :)
Omg Thankss !! you're like a life saver !!
you're welcome :)
do you know how to find x and y intercepts ?
x intercept is when y = 0 y intercept is when x = 0
oh wait so how'd you find 4x-3y=12 ?
x intercept is when y = 0 so 4x - 3(0) = 12 4x = 12 x = 3 is the x intercept then y intercept is when x = 0 so 4(0) - 3y = 12 -3y = 12 y = -4 is the y intercept
Oh okay thanks ! how would you like graph an equation if it's like y=-3/4x+2
y intercept would be y = 2 in other words at point (0, 2) and x intercept would be at x = 8/3 in other words at point (8/3, 0) you would plot those points on the graph then draw a line through it :)
Oh okay what if it's 2x+3y=9
y intercept would be y = 3 in other words at point (0, 3) x intercept would be x = 9/2 in other words at point (9/2, 0) you would plot those points on the graph then draw a line through it :)
THANK YOUUU !!!!
you're welcome :)
what if we're doing like slope intercept form but it doesn't show the points like this one x-4y=8
slope intercept form is y = mx + b so in a sense, it just wants you to get "y" alone then :) so x - 4y = 8 -4y = -x + 8 y = (1/4)x - 2
Oh how about y-2=5(x-1)
same idea :) get y alone and simplify
Oh! so it'd be y=5x-1+2 Right...?
remember to distribute the 5 :)
Oh ! so it'd be y=5x-5+2
then add like terms :)
? how would you do that ..? lmao
well you can add -5 + 2 right? :P
I guess lol
so you'll get y = 5x - 3
Oh lmao i'm bad at math as you can see lol
lol you're doing really well compared to some other people I've had to deal with XD trust me :P
how'd you write y=-2x+3 in standard form...? lol sorry if i ask a lot
and lmao really i feel smart and dumb lmao but thanks :)
standard form is ax + by = c so basically get all the values with variables attached to them to one side so for y = -2x + 3 just add 2x to both sides :)
Ohh so it'd be 2x+y=3
yep :)
wait so if i do y-4=2(x-1) we distribute the 2 which will now be y-4=2x-2right ? and after that what do we do?
yep :) then add 4 to both sides then subtract 2x from both sides :)
y=2x-2+4 right ?
yeah then subtract 2x from both sides :)
y-2x=2+4 right
then we subtract 4 ?...
mmm -2x + y = 2 2x - y = -2
Thank Youu !!! :D i felt like you're a better teacher than my math teacher lol like no joke
thanks :) lol
how'd we graph y=lxl-1 ....?
and lmaoo your welcome :)
original graph was https://lh3.ggpht.com/_F6M745sbI3g/TI-Re7FDUwI/AAAAAAAAABM/6Q-oNeWjmxI/s1600/absolute+value.gif then y = |x| - 1 is that graph shifted down 1
Oh okay Thankss !!
no problem :)
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