Answer:
The value of k for both lines are parallel is 3
Step-by-step 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 [tex]m_1[/tex] = [tex]m_2[/tex]
Now slope [tex]m_1[/tex] from first line is 3
And slope [tex]m_2[/tex] from second line is k
∵ [tex]m_1[/tex] = [tex]m_2[/tex]
∴ 3 = k
Hence The value of k for both lines are parallel is 3 Answer
