Question 53355
a)  The y intercept is what y= when x=0 (0,b).  The yintercept in this case is: (0,50)
You find the slope (m) with the slope formula:
{{{m=(y2-y1)/(x2-x1)}}}
(x1,y1)=(0,50);(x2,y2)=(30,73)
{{{m=(73-50)/(30-0)}}}
{{{m=23/30}}}
m=.76667
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b)The slope intercept form of a line is:y=mx+b
m=slope and (0,b) is the y-intercept
In our case m=.76667 and the y-intercept is (0,b)=(0,50)
y=.76667x+50
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c)The y intercept represents the first data point we have of 55% of women (20-24)who've never been married in 1970 if the trend doesn't change.
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d) x=2010-1970=40
y=.76667(40)+50
y=30.6668+50
y=80.6668
The percentage of women (20-24) who've never been married should be 80.6668% in 2010 if the trend doesn't change.
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e)y=100
100=.76667x+50
100-50=.76667x=50-50
50=.76667x
50/.76667=.76667x/.76667
65.217=x
1970+65.217=2035.217
The percentage of women (20-24) who've never been married should be 100% in the year 2035.