The equation of the line can be expressed as y = (2/3)x - 4/3 OR
2x - 3y = -4
How do we write the equation of the line?
We can use the two-point form of the equation of a line or calculate the slope (rise over run) and then use the point-slope form or the slope-intercept form.
slope m = (y₂ - y₁)/(x₂ - x₁)
Given the points (1,2) and (4,4)
∴ m = (4-2)/(4-1)
m = 2/3
y−y₁ = m(x−x₁)
y - 2 = 2/3(x - 1)
y - 2 = (2/3)x - 2/3
y = (2/3)x - 2/3 + 2
y = (2/3)x - 4/3
OR
2x - 3y = -4