Answer:
y = (-2/3)x + 4 or
3y = -2x + 12
Step-by-step explanation:
Slope of line passing through (x₁, y₁) and (x₂, y₂) is given by
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
In this particular case where the points are (6,0) and (0,4) we get the slope as (4-0)/(0-6) = -2/3
Equation of a line with slope m and y intercept c is given by
y = mx + c
substituting for m we get the equation y = (-2/3)x + c
Substituting the first point (6,0) we get
0 = (-2/3)(6) + c or -4 + c = 0 or c =4
Therefore y = (-2/3)x + 4 or multiplying both sides by 3 we get
3y = -2x + 12
