Solve by graphing
first you have to solve for y
can you solve both equatiosn for y ?
I got the points for the first as (0,4), (2,5), (4,6)?
and for the second I got (0,0), (0,1), (0,2)
oops I mean (0,0), (2,1), (4,2) for the 2nd
points?? to check it you can replace x and y by their values and see if you get both side equal
That's what I got my graph to look like
I don't know this is how someone told me to do it but I'm lost
hint: \(\bf \text{"Solve by graphing"}\)
nope that's wrong
I have no clue then
in order to be parallel lines both equations should have same slope
Then I'm lost on where to start
are you sure u plugged that right into calculator ??
hmmm do you know how to simplify linear equations? that is, what Nnesha said, solvinng for "y"
I did it myself, I don't know how to plug in a graph
That's what I thought I was doing
so what did you get after solving each for "y" then?
Those are the points I got, but I guess I didn't do it right
yeah that is not right bec if you use one of order pair and plugg that into equations u are not gonna get equal side and that's mean that order pair is not solution
@jdoe0001 <-- he can hep ou i gtg now sorry its urgent ^_^
Ok thanks
For the first I got y=1/2x-4
you need help
hello
Yes please
ok
i have a guy that can help see math is not my subject let me give the guy a call
yeap, the 1st one is correct to graph that just pick 2 points say x = 0 and use the y-intercept, or when y=0 notice that the slope-intercept form gives away the y-intercept \(\bf y=\cfrac{1}{2}x{\color{blue}{ -4}}\qquad {\color{blue}{ y-intercept}}\)
and use the y-intercept, or when x=0 rather so... hmm
@vshiroky your welcome
So I put 0 where x is?
um let me call the guy again
@jdoe0001 for the 2nd equation I got y=1/2x
he is coming
well let us get two points, and thus 2 values for "x" let use pick say x = 0, that gives the y-intercept anyhow, which is -4 thus ( 0, -4 ) so another point , say let us make y = 0 for simplicity one sec
k
I still don't understand what you mean
so.. here are your two equations, and a couple of points to plot them \(\bf y=\cfrac{1}{2}x-4 \begin{cases} x=0\qquad y=-4&(0,-4)\\ \hline\\ y=0\\ 0=\frac{1}{2}x-4\to 4=\frac{x}{2}\to 8=x&(8,0)\\ \end{cases} \\ \quad \\ y=\cfrac{1}{2}x \begin{cases} x=0\qquad y=0&(0,0)\\ \hline\\ y=0\\ 0=\frac{1}{2}x\to 0=x&(0,0) \end{cases}\)
notice something their slope of 1/2, is the same in each same slope = parallel lines
parallel lines never touch each other, thus, a solution is when the graphs intersect no intersect, no solution
hmmm
hold the mayo for a sec, the 2nd equation.... is a bit off lemme do that one quick
x+2y = 0 2y = -x y = -x/2 <-- minus
\(\bf y=\cfrac{1}{2}x-4 \begin{cases} x=0\qquad y=-4&(0,-4)\\ \hline\\ y=0\\ 0=\frac{1}{2}x-4\to 4=\frac{x}{2}\to 8=x&(8,0)\\ \end{cases} \\ \quad \\ y=-\cfrac{1}{2}x \begin{cases} x=0\qquad y=0&(0,0)\\ \hline\\ y=0\\ 0=\frac{1}{2}x\to 0=x&(0,0) \end{cases}\) the slopes differ, one is negative, the other positive, thus they should intersect, and thus have a solution
anyhow, for the one is... \(\large { y=-\cfrac{1}{2}x \begin{cases} x=0\qquad y=0&(0,0)\\ \hline\\ y=0\\ 0=-\frac{1}{2}x\to 0=x&(0,0) \end{cases}}\)
I have no clue what just happened
This is making 0 sense to me
hmm what part?
site is a bit laggy, so you know
Any of it
How do I graph 0,0
ok... well...can you follow where we got the coordinates for each from their equation? \(y=\cfrac{1}{2}x-4 \begin{cases} x=0\qquad y=-4&(0,-4)\\ \hline\\ y=0\\ 0=\frac{1}{2}x-4\to 4=\frac{x}{2}\to 8=x&(8,0)\\ \end{cases} \\ \quad \\ y=-\cfrac{1}{2}x \begin{cases} x=0\qquad y=0&(0,0)\\ \hline\\ y=0\\ 0=-\frac{1}{2}x\to 0=x&(0,0) \end{cases}\)
No and I'm on my last attempt so I'm gunna get it wrong and have to do a whole new problem
ok.... can you see how we get 0,-4 from the 1st equation then?
no
ok \(\bf y=\cfrac{1}{2}x-4\qquad x={\color{brown}{ 0}}\implies y=\cfrac{1}{2}{\color{brown}{ 0}}-4\implies y=0-4\implies y=-4 \\ \quad \\ x=0\qquad y=-4\implies (0,-4)\) see it now?
yea
what about the other values.... they were obtained by doing the same thing setting "x" or "y" to some value, in this case 0, and getting the value of the other folllow that?
is this right?
thank you. I'm not gunna do the others I don't think I can
yw
why not \(\huge\color{green}{{\rm you }~\rm can !! :)}\) \(\Huge \color{gold}{\star^{ \star^{\star:)}}}\Huge \color{green}{\star^{ \star^{\star:)}}}\) try :)
@jdoe0001 thanks :)
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