Question

The equation of the line passing through the points (5, 17) and (7, 13) can be expressed as y = mx + b. Give the value of b

Answer 1

we are given

two points as (5, 17) and (7, 13)

Firstly , we need to find m

m is slope

so, we can use formula

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

now, we can plug values

and we get

`m=(13-17)/(7-5)`

`m=(-4)/(2)`

`m=-2`

now, we can plug m=-2 into y=mx+b

`y=-2x+b`

now, we can use any one point to find b

(5,17)

x=5 and y=17

we can plug it

`17=-2*5+b`

now, we can solve for b

and we get

`b=27`

now, we can plug back b

so, we will get equation as

`y=-2x+27`............Answer

`b=27`............Answer