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find the value of k so that the two given lines are parallel. -5x+kx=4 2y-9x=11

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Adioabiolaidn

The value of k so that the two given lines are parallel is; k = 22.5

First, the correct question is;

  • -5y+ kx = 4 and

  • 2y-9x=11

In line segment geometry;

  • The slopes of two or more parallel lines are equal

First, we must determine the slope of the lines by rewriting the equations to resemble the equation of a line in the slope-intercept form; y = mx + c

Therefore, we have;

  • y = (k/5)x - 4/5.................eqn(1)

  • and y = (9/2)x + 11/2....,........eqn(2)

  • Evidently, the slope of the line in equation 2 is; 9/2

.

And since the slope of parallel lines are equal;

  • k/5 = 9/2

By cross product;

  • 2k = 45

k = 22.5

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