Question

If two lines are parallel and they are defined by the equations, y=4x-5 and y=ax+2, what is the value of a?

Answer 1

Answer:

$a=\dfrac{4x-7}{x}$

Step-by-step explanation:

The equations of lines are :

y=4x-5 and y=ax+2

From above equations,

4x-5 = ax+2

4x-ax = 5+2

4x-7 = ax

$a=\dfrac{4x-7}{x}$

So, the value of a is equal to $\dfrac{4x-7}{x}$.