Final answer:
To find the value of x, set the slopes of the two lines equal to each other and solve the equation.
Step-by-step explanation:
To find the value of x, we need to set the two expressions for the slopes of lines k and n equal to each other:
m1 = m2
8x + 30 = 4x
Subtract 4x from both sides:
4x + 30 = 0
Subtract 30 from both sides:
4x = -30
Divide both sides by 4:
x = -30/4
Simplify:
x = -15/2
Therefore, the value of x is -15/2.