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Find the slopeintercept form for the line satisfying the following conditions.
xintercept=2, y intercept =4/5
 one year ago
 one year ago
Find the slopeintercept form for the line satisfying the following conditions. xintercept=2, y intercept =4/5
 one year ago
 one year ago

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pradipgr817Best 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
 one year ago

pradipgr817Best ResponseYou've already chosen the best response.0
a and b are intercept on x and y axis respectively.
 one year ago

mystique2626Best ResponseYou've already chosen the best response.0
i still do not get it can you explain?
 one year ago

pradipgr817Best 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?
 one year ago

mystique2626Best ResponseYou've already chosen the best response.0
nope this is all confusing to me i am horrible with math
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.0
Slope intercept form is y = mx+b where b is the yintercept
 one year ago

jim_thompson5910Best 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
 one year ago

jim_thompson5910Best 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 \(\Large y = \frac{2}{5}x + \frac{4}{5}\)
 one year ago

mystique2626Best ResponseYou've already chosen the best response.0
so that is the final answer there is no more simplifying or anything
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.0
That's as simplified as it gets in that form
 one year ago

mystique2626Best 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
 one year ago

jim_thompson5910Best 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
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.0
this was done to completely isolate m at the end
 one year ago

mystique2626Best 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 ?
 one year ago

jim_thompson5910Best 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
 one year ago

mystique2626Best ResponseYou've already chosen the best response.0
okay i plugged in three and then i have y=4/15x+4/5
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.0
you multiply 3 by the numerator, not the denominator
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.0
and once you plug in 3 for x, the x goes away
 one year ago

mystique2626Best ResponseYou've already chosen the best response.0
okay im confused again lol i thought that was slope intercept form
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.0
\(\Large y = \frac{2}{5}x + \frac{4}{5}\) is slope intercept form
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.0
and you're done because it cannot be simplified any more
 one year ago

mystique2626Best 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
 one year ago

mystique2626Best ResponseYou've already chosen the best response.0
that is where i got the 4/15
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.0
oh so the problem at the very top is incorrect?
 one year ago

mystique2626Best ResponseYou've already chosen the best response.0
yeah i typed the wrong x intercept it was 3 not 2
 one year ago

jim_thompson5910Best 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 \(\Large y = \frac{4}{15}x + \frac{4}{5}\)
 one year ago

mystique2626Best 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
 one year ago

jim_thompson5910Best 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
 one year ago

skittlesdrops24Best 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
 9 months ago
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