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Art [367]
3 years ago
14

Please help!!As soon as possible!!

Mathematics
1 answer:
pychu [463]3 years ago
6 0

Answer: Their equations have different y-intercept but the same slope

Step-by-step explanation:

Since, the slope of the line passes through the points (2002,p) and (2011,q) is,

m_1 = \frac{q-p}{2011-2002} = \frac{q-p}{9}

Similarly, the slope of the line asses through the points (2,p) and (11,q) is,

m_2 = \frac{q-p}{11-2} = \frac{q-p}{9}

Since, m_1 = m_2

Hence, both line have the same slope.

Now, the equation of the line one having slope m_1 and passes through the point (2002,p) is,

y - p = \frac{q-p}{9}(x-2002)

Put x = 0 in the above equation,

We get, y = \frac{2000(p-q)}{9}+p

The y-intercept of the line one is (0, \frac{2000(p-q)}{9}+p)

Also, the equation of second line having slope m_2 and passes through the point (2,p)

y-p=\frac{q-p}{9}(x-2)

Put x = 0 in the above equation,

We get, y = \frac{2(p-q)}{9}+p

The y-intercept of the line one is (0, \frac{2(p-q)}{9}+p)

Thus, both line have the different y-intercepts.

⇒ Third option is correct.

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