Question

What is the equation of a line in point slope form that oases trough (-2,-6) and has a slope of 1/3

Answer 1

y + 6 =
`(1)/(3)`(x + 2)

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m =
`(1)/(3)` and (a, b) = (- 2, - 6 ) , thus

y - (- 6) =
`(1)/(3)`(x - (- 2) ) , that is

y + 6 =
`(1)/(3)`(x + 2)