Question

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) ?

Answer 1

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)

Answer 2

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

Answer 3

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

Answer 4

yes.. you got it

Answer 5

now construct line equation

Answer 6

What next ?

Answer 7

Use the points to find the slope

Answer 8

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

Answer 9

yes

Answer 10

m=y2-y1/x2-x1

Answer 11

yes

Answer 12

m=-1/2

Answer 13

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

Answer 14

??? what is x1 and y1

Answer 15

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

Answer 16

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

Answer 17

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

Answer 18

No it is correct :)

Answer 19

Do i have to take the other two points ?

Answer 20

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?

Answer 21

My bad :(

Answer 22

:) correct it

Answer 23

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

Answer 24

yes.. now find h(0)

Answer 25

Ok so x=0

Answer 26

yes

Answer 27

7/2=y < So 3.5 right ?

Answer 28

yes.. good.. you got it

Answer 29

Thanks alot @Rosh007

Answer 30

welcome hba