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mystique2626
Group Title
Find the slopeintercept form for the line satisfying the following conditions.
xintercept=2, y intercept =4/5
 2 years ago
 2 years ago
mystique2626 Group Title
Find the slopeintercept form for the line satisfying the following conditions. xintercept=2, y intercept =4/5
 2 years ago
 2 years ago

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pradipgr817 Group TitleBest ResponseYou've already chosen the best response.0
write it in the form (x/a)+(y/b)=1, then convert it into the form y=mx+c, you have your slope
 2 years ago

pradipgr817 Group TitleBest ResponseYou've already chosen the best response.0
m is the slope
 2 years ago

pradipgr817 Group TitleBest ResponseYou've already chosen the best response.0
a and b are intercept on x and y axis respectively.
 2 years ago

mystique2626 Group TitleBest ResponseYou've already chosen the best response.0
i still do not get it can you explain?
 2 years ago

pradipgr817 Group TitleBest ResponseYou've already chosen the best response.0
you can write a equation in intercept form, if a is intercept on x axis and b on y, than you can write a line as (x/a)+(y/b)=1 is this point clear?
 2 years ago

mystique2626 Group TitleBest ResponseYou've already chosen the best response.0
nope this is all confusing to me i am horrible with math
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
Slope intercept form is y = mx+b where b is the yintercept
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
Since the y intercept is given to be 4/5, we can say b = 4/5 and y = mx+b becomes y = mx + 4/5
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
The xintercept is given to be x = 2, so essentially, x = 2 and y = 0. Plug these values in and solve for m y = mx + 4/5 0 = m(2) + 4/5 0 = 2m + 4/5 0  4/5 = 2m + 4/5  4/5 4/5 = 2m 2m = 4/5 m = (4/5)*(1/2) m = 4/10 m = 2/5 This means that the equation of the line in slope intercept form is \(\Large y = \frac{2}{5}x + \frac{4}{5}\)
 2 years ago

mystique2626 Group TitleBest ResponseYou've already chosen the best response.0
so that is the final answer there is no more simplifying or anything
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
That's as simplified as it gets in that form
 2 years ago

mystique2626 Group TitleBest ResponseYou've already chosen the best response.0
did you divide by two towards the end, im just trying to make sure that i understand the process
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
i multiplied both sides by 1/2, which is the same as dividing both sides by 2, so yes
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
this was done to completely isolate m at the end
 2 years ago

mystique2626 Group TitleBest ResponseYou've already chosen the best response.0
okay so if i messed up on typing in the problem how much would this affect the answer? I should just be able to plug the right number in right ?
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
You should be able to plug in each intercept and test if it works or not ex: plug in the xintercept: x = 2 and y = 0 and you should get a true equation also plug in the yintercept: plug in x = 0 and y = 4/5 and you should get a true equation
 2 years ago

mystique2626 Group TitleBest ResponseYou've already chosen the best response.0
okay i plugged in three and then i have y=4/15x+4/5
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
you multiply 3 by the numerator, not the denominator
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
and once you plug in 3 for x, the x goes away
 2 years ago

mystique2626 Group TitleBest ResponseYou've already chosen the best response.0
okay im confused again lol i thought that was slope intercept form
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
\(\Large y = \frac{2}{5}x + \frac{4}{5}\) is slope intercept form
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
and you're done because it cannot be simplified any more
 2 years ago

mystique2626 Group TitleBest ResponseYou've already chosen the best response.0
yeah okay but that was for the problem i messed up on and typed the wrong number into. so now im struggling with the problem once i am supposed to multiple by 1/3
 2 years ago

mystique2626 Group TitleBest ResponseYou've already chosen the best response.0
that is where i got the 4/15
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
oh so the problem at the very top is incorrect?
 2 years ago

mystique2626 Group TitleBest ResponseYou've already chosen the best response.0
yeah i typed the wrong x intercept it was 3 not 2
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
if the xintercept is 3 instead of 2, then you are correct in saying that the answer is \(\Large y = \frac{4}{15}x + \frac{4}{5}\)
 2 years ago

mystique2626 Group TitleBest ResponseYou've already chosen the best response.0
okay i was thrown off a little because of the denominators cuz 15 is divisible by 5
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
i see
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
well you definitely got the right answer because \(\Large y = \frac{4}{15}x + \frac{4}{5}\) is fully simplified and it does have an xintercept of 3 and a yintercept of 4/5
 2 years ago

skittlesdrops24 Group TitleBest ResponseYou've already chosen the best response.0
if the y intercept was 2/5s adn the x intercept was three would the solution be 4/15x+2/5
 one year ago
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