SOLUTION: A line passing through (4, 16) and (5, y) is parallel to a line with slope –10. What is the value of y?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A line passing through (4, 16) and (5, y) is parallel to a line with slope –10. What is the value of y?      Log On


   

Question 79820: A line passing through (4, 16) and (5, y) is parallel to a line with slope
–10. What is the value of y?
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
One key to this problem is to realize that parallel lines have the same slope.
The other thing you need to know is how to find the slope of a line given 2 points.
The slope of a line is given by %28y2-y1%29%2F%28x2-x1%29
In this case, the slope is:
%28y-16%29%2F%285-4%29
And, since it is parallel to a line of slope, -10, you can form the equation to solve for y:
%28y-16%29%2F%285-4%29=-10
Simplifying...
y-16=-10
highlight%28y=4%29
Good Luck,
tutor_paul@yahoo.com