Answer:
[tex]\[y=\frac{1}{4}x-3\][/tex]
Step-by-step explanation:
Equation of a line which passes through two points (x1,y1) and (x2,y2) is given by:
[tex]\[\frac{y-y1}{y2-y1}=\frac{x-x1}{x2-x1}\][/tex]
(x1,y1) = (4,-2)
(x2,y2) = (-4,-4)
Substituting the values in the equation:
[tex]\[\frac{y-(-2)}{(-4)-(-2)}=\frac{x-4}{(-4)-4}\][/tex]
=> [tex]\[\frac{y+2}{-2}=\frac{x-4}{-8}\][/tex]
=> [tex]\[4y+8=x-4\][/tex]
=> [tex]\[4y=x-12\][/tex]
=> [tex]\[y=\frac{1}{4}x-3\][/tex]
