Question

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

a. y-4=3x
b. y-2=3(x-6)
c. y+4=x
d. y+6=x-2

Answer 1

C: y + 4 = x

Explanation:

Answer 2

Option C) y + 4 = x

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(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(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