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Find the slope-intercept form for the line satisfying the following conditions. x-intercept=2, y intercept =4/5

Mathematics
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write it in the form (x/a)+(y/b)=1, then convert it into the form y=mx+c, you have your slope
m is the slope
a and b are intercept on x and y axis respectively.

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Other answers:

i still do not get it can you explain?
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?
nope this is all confusing to me i am horrible with math
Slope intercept form is y = mx+b where b is the y-intercept
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
The x-intercept 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 \(\Large y = -\frac{2}{5}x + \frac{4}{5}\)
so that is the final answer there is no more simplifying or anything
That's as simplified as it gets in that form
did you divide by two towards the end, im just trying to make sure that i understand the process
i multiplied both sides by 1/2, which is the same as dividing both sides by 2, so yes
this was done to completely isolate m at the end
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 ?
You should be able to plug in each intercept and test if it works or not ex: plug in the x-intercept: x = 2 and y = 0 and you should get a true equation also plug in the y-intercept: plug in x = 0 and y = 4/5 and you should get a true equation
okay i plugged in three and then i have y=-4/15x+4/5
you multiply 3 by the numerator, not the denominator
and once you plug in 3 for x, the x goes away
okay im confused again lol i thought that was slope intercept form
\(\Large y = -\frac{2}{5}x + \frac{4}{5}\) is slope intercept form
and you're done because it cannot be simplified any more
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
that is where i got the -4/15
oh so the problem at the very top is incorrect?
yeah i typed the wrong x intercept it was 3 not 2
if the x-intercept is 3 instead of 2, then you are correct in saying that the answer is \(\Large y = -\frac{4}{15}x + \frac{4}{5}\)
okay i was thrown off a little because of the denominators cuz 15 is divisible by 5
i see
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 x-intercept of 3 and a y-intercept of 4/5
if the y intercept was 2/5s adn the x intercept was three would the solution be -4/15x+2/5

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