## hba 3 years ago In the xy-plane,the graph of the function h is a line.If h(-1)=4 and h(5)=1,what is the value of h(0) ?

1. Rosh007

I think it will b helpful if you consider h as f(x) that is H(-1)=4 means... when value of x is -1 ; y value (f(x)= is 4... and soon.. construct the the line equation using two point form.. then find value for h(0)

2. hba

(-1,4) and (5,1)

3. philo1234

We can find 2 points from h(-1)=4 and h(5)=1

4. Rosh007

yes.. you got it

5. Rosh007

now construct line equation

6. hba

What next ?

7. philo1234

Use the points to find the slope

8. hba

y-y1=m(x-x1) ??

9. Rosh007

yes

10. hba

m=y2-y1/x2-x1

11. Rosh007

yes

12. hba

m=-1/2

13. hba

y+1=-1/2(x-4)

14. Rosh007

??? what is x1 and y1

15. hba

(x1,y1)=(-1,4)

16. Rosh007

y+1=-1/2(x-4) is it y-y1=m(x-x1) ??? can you please check...

17. Rosh007

your slope is correct...but the point you took is wrong

18. hba

No it is correct :)

19. hba

Do i have to take the other two points ?

20. Rosh007

is it...I have doubt.. y1 is 4 and x1 is-1... but in the abopve equation you took y1 as -1 and x1 as 4 amI right?

21. hba

22. Rosh007

:) correct it

23. hba

y-4=-1/2(x+1)

24. Rosh007

yes.. now find h(0)

25. hba

Ok so x=0

26. Rosh007

yes

27. hba

7/2=y < So 3.5 right ?

28. Rosh007

yes.. good.. you got it

29. hba

Thanks alot @Rosh007

30. Rosh007

welcome hba