To find the distance, choose any point on one of the lines. Plugging in  into the first equation can generate our first point:

 this gives us the point

We can find the distance between this point and the other line by putting the second line into the form :

 subtract the whole right side from both sides

multiply both sides by 

 now we see that

We can plug the coefficients and the point into the formula

where represents the point.

To find the distance, choose any point on one of the lines. Plugging in  into the second equation can generate our first point:

 this gives us the point

We can find the distance between this point and the other line by putting the second line into the form :

 subtract the whole right side from both sides

multiply both sides by 

 now we see that

We can plug the coefficients and the point into the formula

where represents the point.

To find the distance, choose any point on one of the lines. Plugging in  into the first equation can generate our first point:

 this gives us the point

We can find the distance between this point and the other line by putting the second line into the form :

 subtract the whole right side from both sides

multiply both sides by 

 now we see that

We can plug the coefficients and the point into the formula

where represents the point.

To find the distance, choose any point on one of the lines. Plugging in into the first equation can generate our first point:

 this gives us the point

We can find the distance between this point and the other line by putting the second line into the form :

 subtract the whole right side from both sides

multiply both sides by 

 now we see that

We can plug the coefficients and the point into the formula

where represents the point.

Step 1: Let's define the distance formula. The distance between two sets of coordinates can be found by using the equation:


In the equation, d is the distance. Also,  and  are the coordinate points. 

 , .

Step 2: Plug in the values for the missing variables into the equation:



Step 3: Simplify the inside of the square root. Remember that two minus signs next to each other will change to a plus sign.



Step 4: Add up the numbers in the parentheses:



Step 5: Evaluate the exponents:



Step 6: Add the numbers under the square root.



Step 7: Simplify the number inside the square root as much as possible. 

Let's divide by 4:

. We cannot break down 145 into another perfect square, so it has to go back into the radical. The square root of 4 is 2, and this will go on the outside.

The final answer is 

Step 1: The distance formula is defined as:

.

Step 2. Identify what  and  are.




Step 3: Substitute each value for its place in the distance formula.

We will get this:



Step 4: Simplify the inside of step 3.



Step 5: Simplify the parentheses:



Step 6: Evaluate each exponent:



Step 7: Reduce  to lowest terms:

Divide  by :



Step 8: Rewrite 





Replace  with :

The simplified answer to the question is 

Step 1: Define midpoint. The midpoint is a point located between two given points.. If I draw a line through these points, I get a straight line

Step 2: The midpoint formula is: 

Step 3. Plug in the values:



Step 4: Simplify each fraction in Step 3:



Step 5: Convert each fraction to a decimal from step 4:



The midpoint is 

Step 1: Recall the distance formula:



Step 2: Find ...



Step 3: Substitute the values into the equation:


Reduce the parentheses:


Evaluate the exponents and add:



Step 4: Reduce  into lowest terms...



Using rule of square roots, multiplying two roots with the same value on the inside just gives me the inside value..




The length of the line that connects both points is .

Step 1: Plug in values into the distance formula:



Step 2: Evaluate the inside...



Step 3: Simplify...

To find the midpoint you must use the equation

 Insert numbers