Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))
Since you know m = 2/3, plug it into the equation
y = 2/3x + b
To find "b", plug in the point into the equation (-3,2)
y = 2/3x + b
2 = 2/3(-3) + b
2 = -2 + b
4 = b
y = 2/3x + 4
Point-slope form:
y - y₁ = m(x - x₁)
You know:
m = 2/3
(x₁ , y₁) = (-3,2)
Plug this into the equation:
y - y₁ = m(x - x₁)
y - 2 = 2/3(x - (-3))
y - 2 = 2/3(x + 3)