Question

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

a -5/4

b 5/4

c-1/5

d4/5

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 =(4)/(5)x -(1)/(5)}`

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

• 
  `m =(4)/(5)`

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

• 
  `m_(|| \ lines ) =(4)/(5)`