anonymous
  • anonymous
explain how to find the equation of the line, in standard form and slope–intercept form, passing through (–1, –7) and (1, –1). Also compare the benefits of writing an equation in standard form to the benefits of writing an equation in slope–intercept form.
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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KatrinaKaif
  • KatrinaKaif
Do you have any ideas first?
KatrinaKaif
  • KatrinaKaif
To find an equation, our first and main step is finding the slope of the two given points To do so, we use the equation : y2-y1 ----- x2-x1 Your given points: (-1,-7) : (x1,y1) (1,-1) : (x2,y2)
anonymous
  • anonymous
ok

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KatrinaKaif
  • KatrinaKaif
Then we use the equation: (y-y1) = m (x-x1) Subsituting m with what we concluded with in Step 1 and picking any one pair of points to substitute as (x1,y1)
anonymous
  • anonymous
ok then?
KatrinaKaif
  • KatrinaKaif
Lol You get your equation.
anonymous
  • anonymous
k but what are the benefits of writing an equation in standard form or slope intercept form????
KatrinaKaif
  • KatrinaKaif
What do you think?
anonymous
  • anonymous
you just showed me how to do the slope intercept form right? how do i do it in standard form?????????
anonymous
  • anonymous
????
KatrinaKaif
  • KatrinaKaif
You try.. Standard equation is simply: ax + by = c Use this to guide you: http://jwilson.coe.uga.edu/emt668/emat6680.2002/jackson/chapter%205%20lesson%20plan/day6.html
anonymous
  • anonymous
ok the slope intercept is 0 correct?
KatrinaKaif
  • KatrinaKaif
y2-y1 ----- x2-x1 Your given points: (-1,-7) : (x1,y1) (1,-1) : (x2,y2) -1 - (-7) -------- 1 - (-1) I dont believe this gives you 0. Try again.
anonymous
  • anonymous
3
KatrinaKaif
  • KatrinaKaif
Try once again. :/
anonymous
  • anonymous
-1-(-7)=6 1-(-1)=2 6/2=3
KatrinaKaif
  • KatrinaKaif
Ah you are right! Apologies :] Now use that slope and plug it into the formula: y-y1 = m (x-x1) while m = 3 and (x1,y1) is equal to any given pair of points you are given
anonymous
  • anonymous
i still dont know how to figure out the standard form i know slope just need help in the other
KatrinaKaif
  • KatrinaKaif
Well lets start with the slope intercept form, What did you get?
anonymous
  • anonymous
i got 3
KatrinaKaif
  • KatrinaKaif
That is the slope, not the equation.
anonymous
  • anonymous
lol never mind then im lost thanks tho ;)
anonymous
  • anonymous
slope intercept form is y = 3x-4
KatrinaKaif
  • KatrinaKaif
Haha, Well then, I aint leaving till you get this down. You found your slope which is 3. We need to now find the slope-intercept form and to do so, we use the formula: y-y1 = m (x-x1) Lets first substitute "m" or slope to be 3 y-y1 = 3 (x-x1) Now lets pick any one of the two pairs of given points: (-1,-7) OR (1,-1) I pick the second one, (1,-1) which we substitute in as (x1,y1) Now plug it into the equation we had earlier: y-y1 = 3 (x-x1) y - (-1) = 3 (x - 1) y + 1 = 3(x-1) Distribute the 3 to (x-1) y + 1 = 3x - 3 Bring the one to the other side by substracting it: y = 3x - 3 -1 y = 3x -4 Now THAT is your slope intercept form.
anonymous
  • anonymous
yeah thanks and the standard form is y = 3x-4 -3x + y = -4 3x - y = 4 :)
KatrinaKaif
  • KatrinaKaif
Lol Yep :] *Claps*
anonymous
  • anonymous
thanks for your help precciate it

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