The equation of the line is written as y = 2/3 x - 5
How to write the equation
The equation graphed is written in the slope intercept form s below
y = mx + c
where
m = slope
x = intercept
The slope is represented as m, The slope by definition is the ratio change of the output values to the input values
the slope, m is calculated using the points on the graph (3, 3) and (6, 5)
m = (y₀ - y₁) / (x₀ - x₁)
m = ( 3 - 5) / (3 - 6)
m = (-2) / (-3)
m = 2/3
Using point (3, 3) and the point - slope formula we solve for c
y - 3 = 2/3 (x - 3), m = 2/3
y - 3 = 2/3 x - 2
y = 2/3 x - 5
The equation of the line is y = 2/3 x - 5