Question

It's in the picture​

Answer 1

2nd, 3rd and 5 th

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m =
`(2)/(3)` and (a, b) = (1, 2) , thus

y - 2 =
`(2)/(3)` (x - 1) ← 2 nd option

Using (a, b) = (4, 4), then

y - 4 =
`(2)/(3)` (x - 4) ← 3 rd option

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)` , thus

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

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

4 =
`(8)/(3)` + c ⇒ c = 4 -
`(8)/(3)` =
`(4)/(3)`

f(x) =
`(2)/(3)` x +
`(4)/(3)` ← 5 th option