# How to write an equation parallel through a point

The slope of the parallel line is 0 and the slope of the perpendicular line is undefined.

Slope of the parallel line: Since parallel lines have the same slope, what do you think the slope of the parallel line is going to be? This is just my personal preference.

We have a point, however what about the slope? It is a horizontal line.

So, if we know the slope of the line parallel to our line, we have it made. Of greater importance, notice that this exercise nowhere said anything about parallel or perpendicular lines, nor directed us to find any line's equation.

Since our line is parallel to a line that has a slope of 4, our line also has a slope of 4.

### Parallel lines examples

If your preference differs, then use whatever method you like best. It is a horizontal line. Are these lines parallel? We have a point, however what about the slope? Then my perpendicular slope will be. Do you remember what special type of line this equation is? Again, I have a point and a slope, so I can use the point-slope form to find my equation. With this point and my perpendicular slope, I can find the equation of the perpendicular line that'll give me the distance between the two original lines: Okay; now I have the equation of the perpendicular. Affiliate Now I need to find two new slopes, and use them with the point they've given me; namely, with the point 4, —1. Then click the button to compare your answer to Mathway's. Slope of the parallel line: Since parallel lines have the same slope what do you think the slope of any parallel line to this line is going to be? Since a parallel line has an identical slope, then the parallel line through 4, —1 will have slope. But even just trying them, rather than immediately throwing your hands up in defeat, will strengthen your skills — as well as winning you some major "brownie points" with your instructor.

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