The lines given by the equations y = 6x and y = 6x + 2 are a. parallel b. perpendicular c. neither perpendicular nor parallel

A. Parallel

Step-by-step explanation:

The given lines are

and

The slope of is .

The slope of is .

Since the two lines have the same slope, the two lines are parallel.

The correct answer option is A. parallel.

Step-by-step explanation:

We are given the following two lines and we are to determine if they are parallel, perpendicular or none of them:

and

According to the standard equation of a line, , the coefficient of x () is the slope of the line.

Slope of  = 6

Slope of  = 6

Since both the lines have same slope, therefore the two line are parallel.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions