Question

The equation of the line with a slope of 3/2 that contains the point (-4,-2)

Answer 1

y =
`(3)/(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 =
`(3)/(2)`, thus

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

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

- 2 = - 6 + c → c = - 2 + 6 = 4

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