Question

Through :(3,1), slope =1/2

Answer 1

y =
`(1)/(2)` x -
`(1)/(2)`

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m =
`(1)/(2)`, hence

y =
`(1)/(2)` x + c ← is the partial equation

To find c substitute (3, 1) into the partial equation

1 =
`(3)/(2)` + c ⇒ c = 1 -
`(3)/(2)` = -
`(1)/(2)`

y =
`(1)/(2)` x -
`(1)/(2)` ← in slope- intercept form