Answer:
y = -1/3x -2
x-intercept = -6
Step-by-step explanation:
Slope = -1/3
y-intercept = -2
Substitute values into slope intercept form ;
y =mx +b
Where ; m = slope
b =y-intercept
Equation =
[tex]y = -\frac{1}{3} x -2[/tex]
Now graph the equation
x-intercept = ?
[tex]y = -\frac{1}{3} x -2[/tex]
Arrange in standard form and Let y = 0
[tex]y = -\frac{1}{3} x -2\\\\\frac{1}{3} x +y =-2\\\\\frac{1}{3} x +0=-2\\\\\frac{1}{3} x =-2[/tex]
Cross Multiply
[tex]x \times 1 = 3\times -2\\\\x = -6\\\\=(-6,0)[/tex]
So , (-6,-2)