Question

What is the equation of the line that passes through (-3,-1) and has a slope of 2/5? Put your answer in slope-intercept form

Answer 1

see explanation

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 =
`(2)/(5)`, hence

y =
`(2)/(5)` x + c ← is the partial equation

To find c substitute (- 3, - 1) into the partial equation

- 1 = -
`(6)/(5)` + c ⇒ c = - 1 +
`(6)/(5)` =
`(1)/(5)`

y =
`(2)/(5)` x +
`(1)/(5)` ← in slope- intercept form