Use what you know to about slope and y-intercept to graph the linear equations on the same coordinate plane provided at right.
A. y=1/2x-8 m= b=
B. y=1/2x+3 m= b=
C. y=1/2x-3 m= b=
D. y=1/2x m= b=
|dw:1458014414846:dw|
I'd suggest you enclose the slope, m, 1/2, in parentheses for clarify. D. y=(1/2)x What is the slope of D?
1/2
No calculations necessary; merely read the slope right off the equation. Right. m=1/2. What about the slopes of the other 3?
\[\text{slope-intercept format is }y=mx+b\]\[\text{slope is in format }\frac{\Delta y}{\Delta x}\text{, the y intercept is the variable }b\]
For the slope of a its 1/2
Yes. What about b? what about c?
the same 1/2
and for their y-intercept for a its 8 and for b its 3 and for c its 3
For D is the y-intercept x ??
so 0 or x?
Can't say that D has no y-intercept. It does have one. Perhaps if you grph D, you'll see what the y-intercept is. Kittiwitti1: Nice work, only you are violating the Code of Conduct by doing others' work for them and handing out answers.
The second part was, yes. That's why I deleted it. I don't know why the first part was deleted though. It was just reformatting the problems.
So for D is 0
@wintersuntime did you try graphing it out ?
winter: "no y-intercept" actually points to a y-intercept of zero (0). What about the other 3? You had the numbers right, but there were some sign errors. Yes, b is 0 for D. Try again on a, b and c. look carefully at the original equations given.
No
D: the slope is ... ? and the y-intercept is b=?
1.B=8 and 2. b= 3 3. b=3
B=8? please explain.
Again, the slope format is \[y=mx+b\]If the y-intercept is -c we would get:\[y=mx+(-c)\]
For letter b the slope is 3
Aren't you supposed to find the slope, m, and the y-intercept, b (not B)?
both
I'm being picky, I know, but I want you to find the slope and y-intercept of B. Don't write B=8; that means nothing. You meant b=8.
So am I suppose to graph all of them
not necessry, but it never hurts to draw them for the practice. What are your answers to C? m= b=
m=1/2 b=3
Review your own answers. Then rethink C. What is m for C? What is b for C? Are you sure?
-3
The y-intercept of C is not b=3. Now you've got it; the y-int. for C is b=-3. Yes.
oh i forgot to put the negative sign
Yes, make sure you put signs where necessary. Sometimes they're the deciding factor in the right or wrong answer (:
Kitty: Is it necessary for you to inform us about your planned reinstatement? I think not. Your inputs are welcome so long as you guide the other person's work and do not hand out answers (or spam).
Winter: Nice work. Done. Any questions?
Yes, Ma'am.
For graphing can I use the website called decimals
Kitti: Your Witti might be Witti-er in the Math Chat, not in a serious discussion.
Anything that correctly graphs these functions is fine. But I don't see the advantage of using decimals here.
I haven't commented in the math chat for several months, and I barely participate if at all... so I really have no idea what you are talking about.
The website is called decimals were u could graph
ANYWAY back to the topic, sorry I got off track. Are you referring to the website desmos?
I'm not famiar with that site, Winter. Try it and evaluate its worth.
yes lol
desmos seems to be popular with at least some openstudy users.
cuz I'm bad at graphing
That's alright, go ahead and use it. (:
I have a last question
Thanks for your participation. Time for me to get off. Please actually try desmos and/or other graphing utilities and evaluate their worth to y ou. Last question? Go ahead.
What would be the equation of a line parallel to the lines in parts (a) - (d) with a y-intercept of (0,100) ?
Let me turn around and ask you this: What would the y-intercept be? b=?
100
y=0x+100?
i) parallel lines have equal slopes ii) the y intercept is 100, as you've said
Right. You'd have a line parallel to the other four lines but with a y-intercept of 100.
Au revoir. Auf wiedersehen.
french
Ciao, MM. Have a good day o/
धन्यवाद dhanyavaad
thanks so much for ur helps guys
That's actually French and German ☺ But, anyway. You would have equal slope for the line parallel, and the point given, (0,100) is the y-intercept. That should be enough information.
No problem, good luck Winter! ♣
thank you so much for u help once again
^-^
Join our real-time social learning platform and learn together with your friends!