Answer: [tex]y=8[/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 and "b" is the y-intercept.
We know that this is a horizontal line. This means that:
[tex]m=0[/tex]
Knowing that this line contains the point (-4,8) we can substitute this coordinates and [tex]m=0[/tex] into [tex]y=mx+b[/tex], and then solve for "b":
[tex]8=0(-4)+b\\\\b=8[/tex]
Therefore, the equation of this line in Slope-intercept form is:
[tex]y=(0)x+8\\\\y=8[/tex]
