Step-by-step explanation:
I guess we only need to read the details of the already shown line (and don't need to calculate it from the scratch).
usually I am looking for points with integer coordinates to elaborate the equation.
I see here
(0, 2)
(3, 4)
(6, 6)
(9, 8)
the line equation is
y = ax + b
a being the slope, which is "y coordinate change / x coordinate change" when going from one point to another.
and b being the y-intercept (the y value when x = 0).
we know b already from the first point (0, 2) : b = 2.
so, for the slope we use e.g. the first 2 points
(0, 2) and (3, 4)
x changes by +3 (from 0 to 3).
y changes by +2 (from 2 to 4).
so, the slope is +2/+3 = 2/3
and the line equation is
y = 2/3 x + 2
or
y = 2x/3 + 2
