Question

Line AB goes through the points A (0, –4) and B (6, 2). Which equation represents line AB?

Answer 1

Answer: The correct answer is C: y+4=x

Answer 2

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:

$(y-y_1) = \displaystyle\frac{y_2-y_2}{x_2-x_1}(x-x_1)$

where, $(x_1,y_1), (x_2.y_2)$ is the point through which the line passes.

The equation of line is:

$(y+4) = \displaystyle\frac{2+4}{6-0}(x-0)\\\\(y+4)= x\\y = x-4$

Thus, the equation of line AB is given by Option C) y + 4 = x