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3x+ky-10=0 and 2x-8y |
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Answer» ong>Answer: 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−coefficientx−coefficienty−coefficient In this case, the slopes of the two lines are: – x−coefficienty−coefficient=–−34=34x−coefficienty−coefficient=–−34=34 (two minus signs canceled) – x−coefficienty−coefficient=––3kx−coefficienty−coefficient=––3k Can you SET these two ratios equal to each other and solve for k? 34=––3k34=––3k |
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