What is the equation of the line that is parallel to the given line and has an x-intercept of –3?

Option B

Step-by-step explanation:

In the figure, attached, given line passes through two points ( 3, 1 ) and ( 0, 1 ).

So slope of the line will be =

                                            =  

                                            =  

Now a line which is parallel to this line will have same slope as ( ) and equation will be y = x + c

Now it is given that this line passes through ( -3, 0 )

[ x-intercept given as (-3)]

We plug in the values in the equation to get the value of c

0 = ( -3) + 6

0 = -2 + c ⇒ c = 2

Therefore, equation will be y = x + 2

Option B is the answer.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square