SOLUTION: What is the slope of a line parallel to the line through the points (8,6) and (-12,-10).

Algebra ->  Test -> SOLUTION: What is the slope of a line parallel to the line through the points (8,6) and (-12,-10).      Log On


   



Question 647925: What is the slope of a line parallel to the line through the points (8,6) and (-12,-10).
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the slope of a line parallel to the line through the points
(8,6) and (-12,-10).
-----
slope = (6--10)/(8--12) = 16/20 = 4/5
=========================================
Cheers,
Stan H.
=============

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

first find the equation of a line through given points (8,6) and (-12,-10).
recall that parallel lines have the same slope


Solved by pluggable solver: FIND EQUATION of straight line given 2 points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (8, 6) and (x2, y2) = (-12, -10).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%28-10-6%29%2F%28-12-8%29+=+0.8.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 0.8%2A8+%2Bb+=+-0.4. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=6-0.8%2A8+=+-0.4.

y=(0.8)x + (-0.4)

Your graph:




this line has slope m=0.8; so any other line parallel to this one will have same slope