Respuesta :

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

Answer:

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: [tex]9x-3y =15[/tex]

Subtract 9x from both sides we get;

[tex]9x-3y-9x =15-9x[/tex]

Simplify:

[tex]-3y =15-9x[/tex]

or

[tex]-3y =-9x+15[/tex]

Divide by -3 both sides we get;

[tex]y = \frac{-9x+15}{-3}[/tex]

or

[tex]y = \frac{-9x}{-3} + \frac{15}{-3}[/tex]

Simplify:

[tex]y = 3x - 5[/tex]

On comparing with equation [1] we have;

m = 3

Therefore, the slope of the graph of the following  [tex]9x-3y =15[/tex] is, 3


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