Question

A line with a slope of 2/3 through the point ( -2,3)

Answer 1

y =
`(2)/(3)` x +
`(13)/(3)`

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)/(3)`, hence

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

to find c substitute (- 2, 3) into the partial equation

3 = -
`(4)/(3)` + c ⇒ c = 3 +
`(4)/(3)` =
`(13)/(3)`

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