SOLUTION: 16: What is the equation of the line through point (3, 2) and parallel to a line with slope 2?

Algebra ->  Points-lines-and-rays -> SOLUTION: 16: What is the equation of the line through point (3, 2) and parallel to a line with slope 2?      Log On


   

Question 143646: 16: What is the equation of the line through point (3, 2) and parallel to a line with slope 2?
Answer by zephyr(9) About Me  (Show Source):
You can put this solution on YOUR website!
For this type of problem, you first make the slope into a fraction. Like this

2%2F1

Now, the 2/1 equals the numerator on the other side, you put y - (the y). So for this problem it would be y-2.

And for the denominator (for the other fraction), you put x- (the x). Again, it would be x-3

So your equation should look like

2%2F1=%28y-2%29%2F%28x-3%29

Now you multiply the denominator (of the right side) by the left side, as shown below.

%282%2F1%29%28x-3%29=%28%28y-2%29%2F%28x-3%29%29%28x-3%29

which simplifies to

2x-6=y-2

And all you have to do now is add or subtract the number next to y. So that would look like

2x-6%2B2=y-2%2B2

which simplifies to

2x-4=y


and that's your answer!