Question

What is the slope of all lines parallel to the line 4x-5y+-1?

Answer 1

Given equation of the line ,

$\implies 4x - 5y +(-1) = 0$

Simplify ,

$\implies 4x - 5y - 1 = 0$

Transpose terms to RHS ,

$\implies 5y = 4x - 1$

Divide both sides by 5 ,

$\implies \boxed{ y =\dfrac{4}{5}x -\dfrac{1}{5}}$

Now we know the slope intercept form of the line as $y = mx + c$ we have ,

• $m =\dfrac{4}{5}$

As we know that the slope of all parallel lines are same . Henceforth ,

• $m_{|| \ lines } =\dfrac{4}{5}$