Answer:
Option (C) will be the answer.
Step-by-step explanation:
Let the equation of the given line is,
y = mx + b
Where 'm' is the slope of the line and 'b' is the y-intercept
Slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is represented by,
Slope of the line (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
For a line passing through (0, 6) and (4, 0)
Slope 'm' = [tex]\frac{6-0}{0-4}[/tex]
m = [tex]-\frac{3}{2}[/tex]
y-intercept of the line 'b' = 6
Therefore, equation of the line will be,
y = [tex]-\frac{3}{2}x+6[/tex]
2y = -3x + 12
3x + 2y = 12
Option (C) will be the answer.
