Question

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

Answer 1

y = -
`(1)/(3)` x + 5

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, 3 ) into the partial equation

3 = - 2 + c ⇒ c = 3 + 2 = 5

y = -
`(1)/(3)` x + 5 ← equation of line

Answer 2

The equation is y = -1/3x + 5