A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
I am trying to find an equation using the give pair of points (1/4,1/2) and (3/4,3)
anonymous
 5 years ago
I am trying to find an equation using the give pair of points (1/4,1/2) and (3/4,3)

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You need to use the twopoint formula for a line. It says, if you have two points,\[(x_1,y_1)\]and\[(x_2,y_2)\]then the equation of the line containing those points is\[yy_1=\frac{y_2y_1}{x_2x_1}(xx_1)\]You can make any one of your two points be (x1,y1). The other will have to be the (x2,y2). So here, you'd have\[y(\frac{1}{2})=\frac{3(1/2)}{3/41}(x1/4)\]that is\[y+1/2=\frac{7/2}{1/4}(x1/4) \rightarrow y = 14(x1/4)1/2\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You can expand to get\[y=14x+7/21/2=14x+3\]So\[y=14x+3\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0we are suppossed to use the mx+b formula is what it says. Is that possible?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sure. You should have said so! :) I'll do it differently.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Well, actually, if you notice when I gave you the twopoint formula, outside the \[(xx_1)\]part there is\[\frac{y_2y_1}{x_2x_1}\]...that's the slope, m. So you can calculate that first, then you pick any one of the two points to do the rest\[yy_1=m(xx_1)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0They're actually the same formula...you get m from the two points.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You're not actually told the intercept in your question, so can't read off 'b'. You would need to have one of your points, (0,b).

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So, if you were given two points, (1,2) and (0,3), you could use y=mx+b as: m= (32)/(01)=1 b=3 so y=x+3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Your question's slightly different; you can't jump to y=mx+b...you need to find b from the points like I've done.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the only points i have are (1/4,1/2) and (3/4,3) sorry i did not mention it before. At the bottom it says what is the equation of the line? y= (Simplify your answer.Type the answer in the form y=mx+b using intergers or fractions) this is why I am having so much problem trying to figure out what they want me to do because everytime I put in an answer they say it is wrong

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Okay...they're saying "Find the equation of the line ANY way you like (from ways you're taught) and THEN put it in the form y=mx+b...then type that in." I'll do it on paper to doublecheck.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay I made a mistake before  when I type on the fly, I sometimes stuff up. The equation of your line in the form you need is\[y=7x\frac{9}{4}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok that was right that time. thanks

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok now I have to write an equation of the line containing the given point and parallel to the given line. express your answer in the form of y=mx+b (6,7);x+7y=2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Well, the second line needs to be parallel to the first, so it must have the same slope. You should arrange the first equation in the form y=mx+b and then 'read off' the slope. That will be the slope of the second line. Now, since you have a point that the second line must have, and the slope, you can use the pointslope formula I gave above y  y1 = m(x  x1) You expand and rewrite it as a last step in the form you need.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok so the slope would be 1 then right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0No...you have to put the equation in the right form. x+7y=2 is NOT in the form y=mx+_b

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[y=\frac{1}{7}x+\frac{2}{7}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Your new line will be\[yy_1=m(xx_1) \rightarrow y7=\frac{1}{7}(x6)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[y=\frac{1}{7}x+\frac{55}{7}\]when you rearrange and put it into the form you need.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so would I do the same thig with these points (2.5);5x=7y+8

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0What are you being asked to do?
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.