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@Directrix Can you try to help me? Please?
you will need graph paper
okay @baru I have a graph that I have to put it on
first we will find "y intercept" y intercept is where the graph of the line cuts the y axis
y=-3x + 2 to find y intercept; just substitute x=0 in the above equation what do you get?
how did you get -1 i said substitute x=0 in the equation of the line, can you show your steps please
umm like this ~ -3+2
y=-3x +2 substitute x=0 means:- write '0' in place of x y=-3(0) +2
now can you find y?
2? I'm sorry if I get it wrong.. I'm not very good at math
thats ok :). it gets better with practice
yes it is 2. but can you tell me how ?
y= -3x + 2 here 3x actually means \(3 \times x\)
Umm I just did this~ -3(0)+2
^you understood what i just said?
lol... i'm a guy, but dont cal me sir
when i say substitute x=0, you just have to write 0 in place of x y= -3x +2 y=-3(0) +2 y=0 +2 (because 0 multiplied with any number is zero) y=2
ok, now y=2 is the y intercept in other words, its the point where the line cuts the y axis
on your graph sheet, mark the x axis and y axis
Ok I'm sorry I have slow WiFi. y= 2 and x=0?
yes exactly, mark that point in yellow
done with that?
XD no 'sir'
i've marked the point with a circle, does your graph look similar
ok, now we will find 'x intercept' y=-3x + 2 so substitute y=0 what do you get?
is 'x' still 0?
no, to find x intercept, we start fresh, so leave 'x' as x
lets go step by step substitute y=0 in the equation, write what you get
yes perfect now, we need to solve this equation and find 'x'
do you know how to do that?
umm not really
ok, the rule for solving equations is, you can do anything you want; add numbers or subtract or multiply or divide, but what ever you do, you have to do it to BOTH sides of the equation
0=-3x + 2 first, subtract 2 from BOTH SIDES of the equation write what you get
no, leave everything as is, do not remove x 0 = -3x + 2 subtract 2 from both sides 0\(-2\)=-3x +2 \(-2\)
do you understand what i just did?
umm I think so... Is it -3?
no... we are not there yet 0-2= -3x + 2 -2 can you simplify this a little there is 2-2 on the right side of the equation
2-2=0... so that just leaves me with -3x?
correct!!, you are left with just -3x ON THE RIGHT SIDE OF THE EQUATION what is on the left side?
2? or -2?
0-2=-2 so now can you write the whole equation after simplifying 0-2 and 2-2 ?
like you said ON THE RIGHT SIDE we are left with just -3x ON THE LEFT SIDE we have -2 so what is the equation now?
would it just be -3x-2 ?
0-2= -3x + 2 -2 i am just asking you to simplify this 0-2 is -2 2-2 is 0 -2=-3x +0 -2= -3x
so now we have -2 = -3x divide BOTH SIDES OF THE EQUATION BY -3 what do you get?
-2 divided by -3=1.5 -3 divided by -3=1 ?
very good :) now write that in the the equation
yes, excellent! you are catching on
you know that 1 multiplied with any number is the same number so 1x is just x
oh sorry, i didnt notice, -2 divided by -3 is not 1.5, its 0.67 its just a minor mistake...but your step are correct
so can you correct that, and use what i just said about 1x and re-write the equation
ok so the equation would be 0.67=1x?
yes and 1x=x so the equation is 0.67=x congratulations, you have solved the equation and found x. :)
aww awesome!! Thank you soo much for your help!
now x=0.67 is your "x intercept"
the points that need to be on the graph are 1 and 0.67 or 2 and -3?
no, dont do any of that now x=0.67 is you x intercept, its where the line cuts the x axis. so now on your graph, mark y=0 ,x=0.67
can you show me roughly, where that might be?
yes :D mark that point in red
okay! And I connect the points with a blue line?
congratulations!! you have solved the problem. heres a summary: we found "y intercept by substituting x=0" and we plotted this on the graph we found "x intercept by substituting y=0" and we plotted this too on the graph we drew the line, by just connecting these two points
Great thank you! I have a few more problems like this would you mind helping me or checking what I figure out?
well, i have to go now. do this, close this post, and open a new one. post your other problems, and show how the steps you have followed in your attempt, if you show your work, people will be more than happy to confirm or correct you. if you dont show your steps, people will think you are cheating and hesitate to answer. and do tag me... i'll have a look when i'm free :D