Question

What is the equation of a line with a slope of 1/2 that passes through the point (-2,-4)

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 slope m =
`(1)/(2)`, hence

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

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

- 4 = - 1 + c ⇒ c = - 4 + 1 = - 3

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