Question

Slope = 4/3, (-2, 11)

Answer 1

y =
`(4)/(3)` x +
`(41)/(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 =
`(4)/(3)`, hence

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

to find c substitute (- 2, 11) into the partial equation

11 = -
`(8)/(3)` + c ⇒ c =
`(41)/(3)`

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