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Nady [450]
3 years ago
13

What's the relationship between y and x

Mathematics
1 answer:
love history [14]3 years ago
3 0

Answer:

Step-by-step explanation:

The relationship between x and y is called a linear relationship because the points so plotted all lie on a single straight line. The number 95 in the equation y=95x+32 is the slope of the line, and measures its steepness.

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Q2 Q13.) Use the given conditions to write an equation for the line in​ point-slope form and​ slope-intercept form.
Dima020 [189]
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

3 0
3 years ago
When a gas is kept at a constant temperature and pressure on it changes, its volume changes according to the following formula,
astra-53 [7]

Answer:  Approximately 1.9 atm

============================================

Work Shown:

P_1*V_1 = P_2*V_2 \ \text{ ... Boyle's Law}\\\\4.5*1.5 = P_2*3.5\\\\6.75 = P_2*3.5\\\\P_2*3.5 = 6.75\\\\P_2 = \frac{6.75}{3.5}\\\\P_2 \approx 1.92857142857142\\\\P_2 \approx 1.9\\\\

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.

-----------

As a check,

P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.9*3.5\\\\6.75 \approx 6.65\\\\

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

P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.92857*3.5\\\\6.75 \approx 6.749995\\\\

which has the two sides much closer to one another. This helps us verify the answer.

5 0
3 years ago
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