Answer: D. 3x – y = 4
Step-by-step explanation: Standard form of a linear equation is of the form
ax+by =c.
We are given two points on the graph (2,2) and (0,-4).
Slope of the line: m =[tex]\frac{y_2-y_1}{x_2-x_1} =\frac{-4-2}{0-2} = \frac{-6}{-2} =3[/tex].
Applying point-slope form
y-y1 = m(x-x1)
y-2 = 3(x-2)
y-2 = 3x -6
Adding 2 on both sides, we get
y-2+2 = 3x -6+2
y = 3x - 4
Subtracting 3x from both sides, we get
y -3x = 3x-3x - 4
-3x + y= -4.
Multiplying whole equation by -1, we get
3x -y =4.
Therefore, correct option is D option.
