Question

The graphs of the equations y=3x+13 and y-kx=15 are parallel when k equals..?

Answer 1

The value of k for both lines are parallel is 3

Explanation:

Given The equation of two lines as :

y = 3 x + 13

y - k x = 15

I.e y = k x + 15

The standard equation of line is y = m x + c

Where m is the slope of line

Now, according to question , both the lines are parallel , so both have same slope.

I.e
`m_1` =
`m_2`

Now slope
`m_1` from first line is 3

And slope
`m_2` from second line is k

∵
`m_1` =
`m_2`

∴ 3 = k

Hence The value of k for both lines are parallel is 3 Answer