Step-by-step explanation:
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Let
A (-5,-4) and B (5,10)
Part 1) <span>write an equation for the line in point-slope form
</span>
we know that
the equation of a line <span>in point-slope form is
y-y1=m*(x-x1)
step 1
find the slope m
m=(y2-y1)/(x2-x1)------> m=</span>(10+4)/(5+5)----> m=14/10---> 7/5
strep 2
with m=7/5 and the point B (5,10)
find the equation of a line
y-y1=m*(x-x1)-----> y-10=(7/5)*(x-5)
the answer Part 1) is
y-10=(7/5)*(x-5)
Part 2) write an equation for the line in <span>slope-intercept form
</span>we know that
the equation of a line in slope-intercept form is
y=mx+b
step 1
find the slope m
m=(y2-y1)/(x2-x1)------> m=(10+4)/(5+5)----> m=14/10---> 7/5
step 2
with m=7/5 and the point B (5,10)
find b
y=mx+b
10=(7/5)*5+b-----> 10=7+b-------> b=3
the equation of the line is
y=(7/5)x+3
the answer Part 2) is
y=(7/5)x+3
Answer: Approximately 1.9 atm
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Work Shown:
If the volume is 3.5 liters, then the pressure is approximately 1.9 atm.
Note the increase in volume leads to the reduction of pressure, and vice versa. The two variables have an inverse relationship.
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As a check,
We don't get the exact thing on both sides, but the two sides are close enough. We have rounding error due to P2 being not exact.
A more accurate check could be
which has the two sides much closer to one another. This helps us verify the answer.
