SOLUTION: Find the slope, if it exists, of the line containing the two pairs of points. (-12,1) and (-14,5) The slope m=? I need an iterger or simlified fraction. Can you please help me

Algebra ->  Linear-equations -> SOLUTION: Find the slope, if it exists, of the line containing the two pairs of points. (-12,1) and (-14,5) The slope m=? I need an iterger or simlified fraction. Can you please help me       Log On


   



Question 243507: Find the slope, if it exists, of the line containing the two pairs of points.
(-12,1) and (-14,5)
The slope m=?
I need an iterger or simlified fraction.
Can you please help me with this one?

Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of a line can be found using the following equation:
m=%28y2-y1%29%2F%28x2-x1%29 ...or... m=%28y1-y2%29%2F%28x1-x2%29
.
We would then substitute the x and y values in the equation to determine the slope.
.
Let (-12,1) be (x1,y1)
Let (-14,5) be (x2,y2)
.
m=%28y2-y1%29%2F%28x2-x1%29
m=%285-1%29%2F%28-14-%28-12%29%29
m=4%2F%28-14%2B12%29
m=4%2F-2
m=-2 <--- Here's the answer!
.
m=%28y1-y2%29%2F%28x1-x2%29
m=%281-5%29%2F%28-12-%28-14%29%29
m=%28-4%29%2F%28-12%2B14%29
m=%28-4%29%2F2
m=-2 <--- we get the same answer with the second equation.
.
Done! :)