I need step by step instructions for creating a parallel line to a given line?

Answer 1

The equation for a line is y = mx + b. m is the slope of the line. In order for two lines to be parallel, m has to be the same in both equations.

Answer 2

Here you go:
Suppose if you have a line like y=3x + 4.
In the equation the number before the x is 3.
That number is the slope of the line.
The slope of a line is the rise over run. Meaning if you pick a point on a graph, and then go up 3 points then one point to the right, then you would be making a line with a slope of 3. Remember that slope of 3 is the same as 3/1 (since any number divided by 1 is itself, so we don't write the number 1 under 3)
Now parallel lines have the same slopes. But the y-intercept is not the same. For the above equation the y intercept is 4.
So, in conclusion a parallel line would have the same slope(3) , but no the same y-intercept(4)
Now, the parallel line is y=3x +5 . Remember the slope is same. and the y-intercept is any number other then 4. I just picked 5.
Hope this helps. Good Luck :)

If you still need further explanation check out this cool site with animation explanation on what are parallel lines:

Answer 3

I guess you have a line (if not, make one). This we'll call A.

Then you should have a point outside this line, through which the new, parallel line will pass. (call it the outside point)

From here, it depends what tools you have.

If you have a "T" (device to make 90 degree angles), draw a line from that point, such that the drawn line (call it B) will cut A at 90 degrees. Then, using the T again, draw another line at 90 degrees from B at the outside point. This new line (C) will be parallel to A.

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If you have a compass (also called 'divider', sometimes used to draw circles or measure distances on map), accurately measure the shortest distance from the outside point to line A.

Then, a little further down on A, put the dry end of the compass on A and draw a circle. Then, with a ruler, draw a line from the outside point so that this new line is just tangent to the circle (and it must not cross A). This new line is parallel to A.

Answer 4

if you draw a transversal, a line cutting both make sure the same side interior angles are supplementary, meaning equaling 180 degrees