Answer:
Option C) y + 4 = x
Step-by-step explanation:
We are given the following information in the question:
Line AB goes through the points A (0, –4) and B (6, 2).
We can use the two-point form of equation of straight line.
The equation of line is given by:
[tex](y-y_1) = \displaystyle\frac{y_2-y_2}{x_2-x_1}(x-x_1)[/tex]
where, [tex](x_1,y_1), (x_2.y_2)[/tex] is the point through which the line passes.
The equation of line is:
[tex](y+4) = \displaystyle\frac{2+4}{6-0}(x-0)\\\\(y+4)= x\\y = x-4[/tex]
Thus, the equation of line AB is given by Option C) y + 4 = x
