Question

Write an equation of a line in y = mx + b form that passes through the points (5,3)
and (15,1)

Answer 1

`y = - 0.5x + 5.5`

Explanation:

finding the slope

`(3 - 1)/(5 - 15) = - (1)/(2)`

m is the slope

`- 0.5x + b = y`

we can get y from any point but that goes for x,too

`- 0.5(5) + b = 3 \\ b = 2.5 + 3 \\ b = 5.5`

the equation is

`y = -0.5x + 5.5`