Which line has a slope of `(5)/(3)` ?

Options

A. `3x-5y+2=0`
B. `3x+5y+6=0`
C. `3x-4y+5=0`
D. `5x-3y+4=0`

Answer

D

Explanation

The line with slope `(5)/(3)` has an equation of the form `y = (5)/(3)x + b`. Find the equation that first this form when solved for y.
`(A) : 3x-5y+2 = 0 : y = (3)/(5) x + (2)/(5)`
`(B) : 3x + 5y + 6= 0 : y =-(3)/(5) x - (6)/(5)`
`(C ) : 3x - 4y + 5 = 0 : y = (3)/(4) x + (5)/(2)`
`(D) : 5x + 3y + 8 = 0 : y = -(5)/(3) x - (8)/(3)`
`(E ) : 5x-3y+4 = 0 : y = (5)/(3)x + (4)/(3)`
(E ) is the only equation with a slope of `(5)/(3)` and therefore is the correct answer.