Question

What is the equation of the line that passes through the point (6,-5) and has a slope of -{1}{3}?

Answer 1

y = -
`(1)/(3)` 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)/(3)` , then

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

to find c substitute (6, - 5 ) into the partial equation

- 5 = - 2 + c ⇒ c = - 5 + 2 = - 3

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