Question

write the slope - intercept equation of the line that passes through the point (6, "-1)" and has a slope of "-1/3"

Answer 1

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

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, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

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