if the parallel lines 3x+4y+23=0 and 6x+8y=3k is 2k units. find the value of k
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Step-by-step explanation:
Since the terms are in the same order in each equation:
3x - 4y + 5 = 0
3x + ky + 10 = 0
and since the lines are parallel,
the slopes must be equal
The slope, when both coefficients are on the same side of the equation, is equal to
– x−coefficienty−coefficient
In this case, the slopes of the two lines are:
– x−coefficienty−coefficient=–−34=34 (two minus signs canceled)
– x−coefficienty−coefficient=––3k
Can you set these two ratios equal to each other and solve for k?
3/4= – –3/k
i, e k=4
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