Question

The equation of the line passing through the points (3, 16) and (5, 10) can be expressed as y = mx + b. Give the value of b

Answer 1

we are given two points as

(3, 16) and (5, 10)

firstly , we will find slope

slope is m

so, we can use formula

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

now, we can plug points

`m=(10-16)/(5-3)`

`m=(-6)/(2)`

`m=-3`

we can plug it in y=mx+b

we get

`y=-3x+b`

now, we can select any one points

and find b

(3,16)

x=3 and y=16

`16=-3*3+b`

we can find b

`b=25`

now, we can plug back b

and we get

`y=-3x+25`

so, equation is

`y=-3x+25`

and

`b=25`...............Answer