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myrzilka [38]
3 years ago
10

Write the equation of a line that passes through the points (-4, -5) and (2, 13).

Mathematics
1 answer:
andrew11 [14]3 years ago
8 0
(-4,-5)(2,13)
slope(m) = (y2 - y1) / (x2 - x1)
slope(m) = (13 - (-5) / (2 - (-4)
slope(m) = (13 + 5) / (2 + 4)
slope(m) = 18/6 = 3

y = mx + b
slope(m) = 3
(2,13)...x = 2 and y = 13
now we sub, we are looking for b, the y int
13 = 3(2) + b
13 = 6 + b
13 - 6 = b
7 = b

so ur equation is : y = 3x + 7

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Fine the exact distance between the line 6x-y=-3 and the point (6,2). Show your work. Explain your answer.
AVprozaik [17]

Answer:

\sqrt{37} units

Step-by-step explanation:

If we draw a perpendicular from point (6,2) on the line 6x - y = - 3, then we have to find the length of the perpendicular.  

We know the formula of length of perpendicular from a point (x_{1}, y_{1} ) to the straight line ax + by + c = 0 is given by  

\frac{|ax_{1} + by_{1} +c |}{\sqrt{a^{2}+b^{2}}}

Therefore, in our case the perpendicular distance is  

\frac{|6(6)-2+3|}{\sqrt{6^{2} +(-1)^{2} } } = \frac{37}{\sqrt{37} } = \sqrt{37}  units. (Answer)

6 0
3 years ago
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miv72 [106K]
Common ratio is -2

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7 0
3 years ago
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