Answer: [tex]x=-4[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
We know that the slope of this line is:
[tex]m=-\frac{1}{2}[/tex]
And the y-intercept is:
[tex]b=-2[/tex]
Since the line intersects the x-axis when [tex]y=0[/tex], we can substitute values into [tex]y=mx+b[/tex]:
[tex]0=-\frac{1}{2}x-2[/tex]
The final step is to solve for "x", then:
[tex]2=-\frac{1}{2}x\\\\(2)(-2)=x\\\\x=-4[/tex]
