## mystique2626 Group Title Find the slope-intercept form for the line satisfying the following conditions. x-intercept=2, y intercept =4/5 one year ago one year ago

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.

4. mystique2626 Group Title

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?

6. mystique2626 Group Title

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

7. jim_thompson5910 Group Title

Slope intercept form is y = mx+b where b is the y-intercept

8. jim_thompson5910 Group Title

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

9. jim_thompson5910 Group Title

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

10. mystique2626 Group Title

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

11. jim_thompson5910 Group Title

That's as simplified as it gets in that form

12. mystique2626 Group Title

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

13. jim_thompson5910 Group Title

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

14. jim_thompson5910 Group Title

this was done to completely isolate m at the end

15. mystique2626 Group Title

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 ?

16. jim_thompson5910 Group Title

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

17. mystique2626 Group Title

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

18. jim_thompson5910 Group Title

you multiply 3 by the numerator, not the denominator

19. jim_thompson5910 Group Title

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

20. mystique2626 Group Title

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

21. jim_thompson5910 Group Title

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

22. jim_thompson5910 Group Title

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

23. mystique2626 Group Title

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

24. mystique2626 Group Title

that is where i got the -4/15

25. jim_thompson5910 Group Title

oh so the problem at the very top is incorrect?

26. mystique2626 Group Title

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

27. jim_thompson5910 Group Title

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

28. mystique2626 Group Title

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

29. jim_thompson5910 Group Title

i see

30. jim_thompson5910 Group Title

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

31. skittlesdrops24 Group Title

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