The equation of the line graphed is y = 2x + 1
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, m is calculated using the points on the graph (1, 3) and (-2, -3)
m = (y₀ - y₁) / (x₀ - x₁)
m = (3 - (-3) / (1 - (-2)
m = (3 + 3) / (1 + 2)
m = 6/3 = 2
Using point (1, 3) and the point - slope formula we solve for c
y - 3 = m (x - 1), m = 2
y - 3 = 2x - 2
y = 2x + 1