Question

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

Answer 1

write it in the form (x/a)+(y/b)=1, then convert it into the form y=mx+c, you have your slope

Answer 2

m is the slope

Answer 3

a and b are intercept on x and y axis respectively.

Answer 4

i still do not get it can you explain?

Answer 5

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?

Answer 6

nope this is all confusing to me
i am horrible with math

Answer 7

Slope intercept form is

y = mx+b

where b is the y-intercept

Answer 8

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

Answer 9

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 \(\Large y = -\frac{2}{5}x + \frac{4}{5}\)

Answer 10

so that is the final answer there is no more simplifying or anything

Answer 11

That's as simplified as it gets in that form

Answer 12

did you divide by two towards the end, im just trying to make sure that i understand the process

Answer 13

i multiplied both sides by 1/2, which is the same as dividing both sides by 2, so yes

Answer 14

this was done to completely isolate m at the end

Answer 15

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 ?

Answer 16

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

Answer 17

okay i plugged in three and then i have y=-4/15x+4/5

Answer 18

you multiply 3 by the numerator, not the denominator

Answer 19

and once you plug in 3 for x, the x goes away

Answer 20

okay im confused again lol i thought that was slope intercept form

Answer 21

\(\Large y = -\frac{2}{5}x + \frac{4}{5}\) is slope intercept form

Answer 22

and you're done because it cannot be simplified any more

Answer 23

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

Answer 24

that is where i got the -4/15

Answer 25

oh so the problem at the very top is incorrect?

Answer 26

yeah i typed the wrong x intercept
it was 3 not 2

Answer 27

if the x-intercept is 3 instead of 2, then you are correct in saying that the answer is \(\Large y = -\frac{4}{15}x + \frac{4}{5}\)

Answer 28

okay i was thrown off a little because of the denominators cuz 15 is divisible by 5

Answer 29

i see

Answer 30

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

Answer 31

if the y intercept was 2/5s adn the x intercept was three would the solution be -4/15x+2/5