anonymous
  • anonymous
write the equation of the line in point-slope form. (-2,4) and (-5,6). i found the slope, it is 2/-3.
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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anonymous
  • anonymous
I am looking for the y-intercept so this is what i have so far:
anonymous
  • anonymous
y= mx+b 4= 2/-3(-2)+b
anonymous
  • anonymous
then its 4= -4/-3 +b no idk what to do

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anonymous
  • anonymous
this site helps sometimes try it http://www.wolframalpha.com/
anonymous
  • anonymous
but if you want an explanation ask someone
anonymous
  • anonymous
it gave me 4= b+ 4/3 which is 8/3
anonymous
  • anonymous
now how do i use the slope 2/-3 and b which is 8/3 to make an equation of the line in point-slope form
ivettef365
  • ivettef365
ok you have 4 = -2/3 (-2) + b 4 = 4/3 + b 4 4 12 -4 8 -- - --- = ----- = ------ 1 3 3 3 so b = 8/3
ivettef365
  • ivettef365
now just plug in on formula y = mx + b y = -2/3x + 8/3
anonymous
  • anonymous
noo i need point slope formula.
anonymous
  • anonymous
"2.Determine the equation of the line in point-slope form"
ivettef365
  • ivettef365
y - y1 = m(x - x1) (this formual ?)
anonymous
  • anonymous
yes
ivettef365
  • ivettef365
then you have m = -2/3 and (x,y) could be any known point you have point (-2,4) so it is y - 4 = -2/3(x + 2)
anonymous
  • anonymous
so.. y-4= -2/3 x then what
phi
  • phi
If they want point - slope form, you do not need to first find y= mx + b (slope-intercept form) instead, find the slope, which you did and then pick one of the points, and use that point in \[ y - y_1= m(x-x_1) \]
anonymous
  • anonymous
y-4= -2/3 x + -4/3 right?
anonymous
  • anonymous
ohh so i did an extra step woops
phi
  • phi
Don't distribute. point-slope form is just \[ y - y_1= m(x-x_1) \] leave it that way
anonymous
  • anonymous
ohh
anonymous
  • anonymous
r u sure
ivettef365
  • ivettef365
is just y - 4 = -2/3(x + 2)
ivettef365
  • ivettef365
http://www.mathsisfun.com/algebra/line-equation-point-slope.html
anonymous
  • anonymous
y - y1 = m(x - x1) do not distribute...just leave it , parenthesis and all
anonymous
  • anonymous
ok
anonymous
  • anonymous
i have a few more questions im gonna put the next one
phi
  • phi
point-slope form is not very useful (for plotting for example) but it is easier to write down (less algebra).
anonymous
  • anonymous
yes
anonymous
  • anonymous
my next one is Determine the equation of the line, in slope-intercept form
anonymous
  • anonymous
the points are:
anonymous
  • anonymous
(-5,6) and (-8,8)
phi
  • phi
this one is y = mx + b which you have done already first find the slope, then solve for b
anonymous
  • anonymous
for slope i got 2/-3
anonymous
  • anonymous
so i plug in a point, and the slope, to solve for b?
phi
  • phi
yes
anonymous
  • anonymous
ok ill use (-5,6)
anonymous
  • anonymous
ok i got 6= -10/-3 +b
anonymous
  • anonymous
so that's like the same as 6= 10/3 +b right
phi
  • phi
yes. now add -10/3 to both sides
anonymous
  • anonymous
10/3 u mean
phi
  • phi
6= 10/3 +b add -10/3 to both sides
phi
  • phi
because you want 10/3 - 10/3 = 0 so you get 0+b on the right side
anonymous
  • anonymous
wait wait ur confusing me, look what ur writing. first u write 10/3 then u write -10/3.. which is it?
phi
  • phi
here is what you did: ok i got 6= -10/-3 +b so that's like the same as 6= 10/3 +b right yes, that is correct: 6 = 10/3 + b now to solve for b, add -10/3 to both sides
anonymous
  • anonymous
see u did it again
anonymous
  • anonymous
u wrote "now to solve for b, add -10/3 to both sides" do u see the problem here?
anonymous
  • anonymous
but just before you wrote 6= 10/3 +b
anonymous
  • anonymous
y would i add -10/3 to both sides if we just made the fraction simpler by taking away the negatives?
anonymous
  • anonymous
do i add or subtract
anonymous
  • anonymous
if would have been less confusing if u said subtract 10/3 from both sides
anonymous
  • anonymous
so now whats 6 - 10/3 ?
phi
  • phi
you agree we started with y = - 2/3 x + b you picked point (-5,6) and got 6 = - 2/3 * -5 + b which becomes 6 = 10/3 + b so far, so good. now add -10/3 to both sides. Can you do that ?
phi
  • phi
to do fractions, you need a common denominator. in this case, 3 to get a denominator of 3 for 6, multiply 6 times 3/3 you get 18/3 now you can do the fractions
anonymous
  • anonymous
so b is 18/3 ??
phi
  • phi
you should get b= 6 - 10/3 change 6 to 18/3 b= 18/3 - 10/3 to add or subtract fractions with the same bottom, add or subtract the tops 18 -10 = 8 and put that number over the common denominator
anonymous
  • anonymous
so 8/3
phi
  • phi
yes
phi
  • phi
It looks like all the points are ending up on the same line y= -2/3 x + 8/3 looks familiar
anonymous
  • anonymous
yup
anonymous
  • anonymous
because they are. i made it that way
anonymous
  • anonymous
we had to pick three points and make them be in the same line as (1,2) the "launch area" for a project.
phi
  • phi
and then you have to find the different ways to write an equation of a line: standard, point-slope, point-interecept ?
anonymous
  • anonymous
yes

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