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galina1969 [7]
4 years ago
10

Angelique draws a triangle GHK. If

Mathematics
1 answer:
kap26 [50]4 years ago
5 0
Where is the rest of the problem?



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Find the value of k so that the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.
guajiro [1.7K]

the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.

We find the slope of parallel line using two given points

(5, -8) and (2, 4)

Slope formula is

slope = \frac{y_2-y_1}{x_2-x_1}

slope = \frac{4-(-8)}{2-5}

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so slope = -4

Slope of any two parallel lines are always equal

Lets find the slope of the equation 13y + kx = 4

Subtract kx on both sides

13 y = -kx + 4

Divide both sides by 13

y= \frac{-kx}{13} + \frac{4}{13}

Now slope = -k/13

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So the slope of 13y + kx = 4  is also -4

Hence we equation the slope and find out k

\frac{-k}{13}=-4

Multiply by 13 on both sides and divide by -1

k = 52

the value of k = 52

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3 years ago
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