Question

Write an equation of a line with slope of ⅓ and through the point (12,-6)

Answer 1

y =
`(1)/(3)` x - 10

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)/(3)` , then

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

to find c substitute (12, - 6 ) into the partial equation

- 6 =
`(1)/(3)` (12) + c = 4 + c ( subtract 4 from both sides )

- 10 = c

y =
`(1)/(3)` x - 10 ← equation of line