How do you find the slope of any line parallel to the line (15,1) and (4,2)?

Question

Algebra question, this part really confuses me. This is supposed to be college algebra. I am clueless. any help?

Answer 1

Use the slope formula to get the slope. All parallel lines will have the same slope.

m = (y2-y1) / (x2-x1)

So, for your points you have the following:

m = (2-1) / (4-15) = 1/(-11) = -1/11

Therefore all lines parallel to this line will also have a slope of -1/11.

Hope that helped!

~ ♥ ~

Answer 2

Parallel lines have the same slope.

the line passing through the given points has a slope of
(2-1)/(4-15)= - 1/11. So all lines parallel to this line will also have the same slope of -1/11.

The slope of a line is given by the difference in the y coordinates divided by the difference in the x coordinates.

Answer 3

All lines that are parallel have the same slope, so calculate the slope of this line, and you have the slope of all lines parallel to it. To calculate slope, it is "rise over run." Mathmatically, (y2-y1)/(x2-x1). I leave the solution as an exercise for the student.