Question

Through: (-2,-1), slope= 5/2

Answer 1

y =
`(5)/(2)` x + 4

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

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

To find c substitute (- 2, - 1) into the partial equation

- 1 = - 5 + c ⇒ c = - 1 + 5 = 4

y =
`(5)/(2)` x + 4 ← equation of line

Answer 2

If finding the slope, the answer would be
m=3/2