Question

The point ( 8 , 5 ) lies on a line with a slope of 1/4 write the equation of the line

Answer 1

y =
`(1)/(4)` x + 3

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)/(4)` , then

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

to find c substitute (8, 5 ) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y =
`(1)/(4)` x + 3 ← equation of line

Answer 2

`y=(1)/(4) x+3`

Explanation:

`y-5=(1)/(4) (x-8)`

`y=(1)/(4) x-2+5`

`y=(1)/(4) x+3`

Hope this helps