Question

Convert the equation y-3=3/8 (x-12) into slope/y-intercept form

Answer 1

y =
`(3)/(8)` 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 )

given

y - 3 =
`(3)/(8)` ( x - 12 ) ← distribute parenthesis by
`(3)/(8)`

y - 3 =
`(3)/(8)` x -
`(9)/(2)` ( add 3 to both sides )

y =
`(3)/(8)` x -
`(9)/(2)` +
`(6)/(2)`

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