Answer:
i think its -14×14613 thets ny answer
Answer:
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Step-by-step explanation:
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}](https://tex.z-dn.net/?f=slope%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![slope = \frac{4-(-8)}{2-5}](https://tex.z-dn.net/?f=slope%20%3D%20%5Cfrac%7B4-%28-8%29%7D%7B2-5%7D)
![slope = \frac{12)}{-3}=-4](https://tex.z-dn.net/?f=slope%20%3D%20%5Cfrac%7B12%29%7D%7B-3%7D%3D-4)
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}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B-kx%7D%7B13%7D%20%2B%20%5Cfrac%7B4%7D%7B13%7D)
Now slope = -k/13
We know slope of parallel lines are same
So the slope of 13y + kx = 4 is also -4
Hence we equation the slope and find out k
![\frac{-k}{13}=-4](https://tex.z-dn.net/?f=%5Cfrac%7B-k%7D%7B13%7D%3D-4)
Multiply by 13 on both sides and divide by -1
k = 52
the value of k = 52
A linear equation in two variables doesn't involve any power higher than one for either variable. It has the general form Ax + By + C = 0, where A, B and C are constants. It's possible to simplify this to y = mx + b, where m = ( −A / B) and b is the value of y when x = 0. A quadratic equation, on the other hand, involves one of the variables raised to the second power. It has the general form y = ax2 + bx + c. Apart from the adding complexity of solving a quadratic equation compared to a linear one, the two equations produce different types of graphs.