What is the equation of the line that is parallto the given line and passes through the point (2,3)?

Step-by-step explanation:

Here's how you can solve it if you have the equation of the line. Parallel lines have the same slope but different y-intercepts, meaning that if the equation of the line is in standard form, y = mx + b, then the m's are the same but the b's are different. To find the equation plug in the point (2,3) into whatever the original equation of the line is, (for demonstration purposes I am going to use m = 2 and b = 1). So

3 = 2(2) + 1

But instead of solving it and proving it is true, take out the 1 and solve. (If you were to try to solve for it with the original b it would prove to be a false statement.)

So you actually have this equation.

3 = 2(2) + b

Now solve for b and plug that into the new equation. In this case, using the numbers I made up the parallel line would have the equation of y = 2x - 1.

Do you have a picture or something?

Step-by-step explanation:

Please respond ASAP as I will get to this.

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

throw the computer

step-by-step explanation: