Question

Which equation represents a line that passes through (-2, 4) and has a slope of 2/5

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)`, thus

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

To find c substitute (- 2, 4) into the partial equation

4 = -
`(4)/(5)` + c ⇒ c = 4 +
`(4)/(5)` =
`(24)/(5)`

y =
`(2)/(5)` x +
`(24)/(5)` ← equation of line