Respuesta :

Answer: OPTION B.

Step-by-step explanation:

1. By definition, the line intercepts the x-axis when y=0. Therefore, you must susbtitute y=0 into the equation of the line given in the problem and solve for x, as you can see below:

[tex]0=3x+6\\-6=3x\\x=-2[/tex]

2. Knowing that the x-intercept of the line from the equation and is -2 and the x-intercept from the description is (0,0), you can conclude that the correct option is B.

Answer:

Choice B is correct answer.

Step-by-step explanation:

We have given a equation.

we have to find x-intercept of given equation.

y =  3x+6

x-intercept is a point where the value of y is zero.

putting y = 0 in given equation, we have

3x+6 =  0

3x=  -6

x = -2

Hence, x-intercept of equation is (-2,0).

Another x-intercept of equation is given which is zero.

Hence, the x -intercept from the description is zero which is greater than the x-intercept of the equation y =  3x+6.

So, choice B is correct answer.