SOLUTION: A line passing through (4, 11) and (1, y) is parallel to a line with slope 2. What is the value of y? Can someone show me how to work this problem out. Thanks

Question 146690: A line passing through (4, 11) and (1, y) is parallel to a line with slope 2. What is the value of y?
Can someone show me how to work this problem out. Thanks
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A line passing through (4, 11) and (1, y) is parallel to a line with slope 2. What is the value of y?
.
If two lines are parallel, their slopes MUST be the same.
.
We can calculate the slope of a line given two points by using:
slope = (y2-y1)/(x2-x1)
.
if we assign the following:
(x1,y1) is (4, 11)
and
(x2,y2) is (1, y)
.
Now, simply "plug in" the given values and solve for y:
slope = (y2-y1)/(x2-x1)
2 = (y-11)/(1-4)
2 = (y-11)/(-3)
-2/3 = y-11
11-2/3 = y
33/3 - 2/3 = y
31/3 = y
or
10.333 = y

RELATED QUESTIONS
A line passing through (11, 3) and (10, y) is parallel to a line with slope �2. What is... (answered by elima)

A line passing through (11, 3) and (10, y) is parallel to a line with slope �2. What is... (answered by elima)

Can you please help me solve A line passing through (6,9)and (5,y)is parallel to a line... (answered by venugopalramana)

Can someone please help me. Line passing through (-10,-1) and (-8,y) is perpendicular to (answered by stanbon)

A line passing through (4, 16) and (5, y) is parallel to a line with slope �10. What... (answered by tutor_paul)

A line passing through (4, 20) and (6, y) is parallel to a line with slope �7. What is... (answered by jim_thompson5910)

A line passing through (4, 20) and (6, y) is parallel to a line with slope �7. What is... (answered by solver91311)

A line passing through (9, 15) and (2, y) is parallel to a line with slope 2. What is... (answered by stanbon)

A line passing through (9,8) and (7,y) is parallel to a line with slope -1. What is the... (answered by Nate)