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Sagot :
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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