Question

Find a point-slope form for the line with slope 1/5 and passing through the point (-4,-9).

Answer 1

y + 9 =
`(1)/(5)`(x + 4)

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)/(5)` and (a, b) = (- 4, - 9) , thus

y - (- 9) =
`(1)/(5)`(x - (- 4) ) , that is

y + 9 =
`(1)/(5)`(x + 4)