Question

Find the slope of the graph of the following: 9x-3y=15

Answer 1

Slope = 3 x-intercept = 5/3 = 1.66667 y-intercept = 5/-1 = -5.00000

Answer 2

Equation of line is given by:

y = mx+b; ......[1] where m is the slope and b is the y-intercept.

Given the equation of a line:
`9x-3y =15`

Subtract 9x from both sides we get;

`9x-3y-9x =15-9x`

Simplify:

`-3y =15-9x`

or

`-3y =-9x+15`

Divide by -3 both sides we get;

`y = (-9x+15)/(-3)`

or

`y = (-9x)/(-3) + (15)/(-3)`

Simplify:

`y = 3x - 5`

On comparing with equation [1] we have;

m = 3

Therefore, the slope of the graph of the following
`9x-3y =15` is, 3