Question

Which question represents a line that passes through (5,1) and has a slope of 1/2

Answer 1

y =
`(1)/(2)` x -
`(3)/(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 (5, 1 ) into the partial equation

1 =
`(5)/(2)` + c ⇒ c = -
`(3)/(2)`

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