SOLUTION: The line passing through (5,y) and (1,0) is parallel to the line joining (2,3) and (-2,1). Find y

Question 348674: The line passing through (5,y) and (1,0) is parallel to the line joining (2,3) and (-2,1). Find y
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Hi,
re your reply: " but don't understand the part about x has increased by 4 resulting in y=2?
The Slope tells us the relationship of the points on the line.
In this case slope = 1/2 The graph of that line with point (1,0)looks like this. Note: y increases by 1, x increases by 2 (that's what the slope tells us)
(1,0), (3,1) and (5,2) are all points on the line. For Pt(5,y) y = 2

Hi,
Note: Fist find the slope of the line it is parallel to using the two points (2,3) (-2,1) and the point-slope formula:

m = (1/2)
.
Slope tells us: as y increases by 1, x increases by 2
.
Parallel lines have the same slope
Points (5,y) and (1,0) on the line parallel
.
(points show x has increased by 4)
y = 2
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