Question

Intercept from a table

Answer 1

Firstly, we will find equation of line

We can find equation of any line by selecting any two points

(10,20) and (15,12)

firstly , we will find slope

`m=(y_2-y_1)/(x_2-x_1)`

x1=10 , y1=20 , x2=15 and y2=12

`m=(12-20)/(15-10)`

`m=-(8)/(5)`

now, we can use point slope form of line

`y-y_1=m(x-x_1)`

`y-20=-(8)/(5)(x-10)`

now, we can solve for y

`y=-(8)/(5)x+36`

x-intercept:

For finding x-intercept , we can set y=0

and then we can solve for x

`0=-(8)/(5)x+36`

`x=(45)/(2)`............Answer

y-intercept:

For finding y-intercept , we can set x=0

and then we can solve for y

`y=-(8)/(5)*0+36`

`y=36`............Answer