For this case we have that by definition, the equation in the form of slope-intersection is given by:
[tex]y = mx + b[/tex]
Where
Substituting the given point: [tex](x, y) = (2, -4)[/tex] and the cutoff point [tex]b = -2[/tex] we can find the slope,
We have:
[tex]-4 = m * 2-2\\-4 = 2m-2\\-4 + 2 = 2m\\-2 = 2m[/tex]
[tex]m =-\frac{2}{2}\\m = -1[/tex]
Thus, the equation is given by:
[tex]y = -x-2[/tex]
Answer:
[tex]y = -x-2[/tex]
See attached image
