Question

3x+ky-10=0 and 2x-8y​

Answer 1

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