Answer:
(a), (c) and (d)
Step-by-step explanation:
Required
Which is linear
A linear function is represented as any of:
[tex]y = mx + b[/tex]
[tex]y - y_1= m(x - x_1)[/tex]
[tex](a)\ 8x - 3y = 2[/tex]
Rewrite as:
[tex]- 3y = -8x+2[/tex]
Divide by -3
[tex]y = \frac{8}{3}x - \frac{2}{3}[/tex] -- by comparison to [tex]y = mx + b[/tex], this is linear
[tex](b)\ y = |x - 4|-7[/tex]
This is an absolute function. It is not linear
[tex](c)\ y + 8=5(x - 4)[/tex]
By comparison to [tex]y - y_1= m(x - x_1)[/tex], this is linear
[tex](d)\ y = -7[/tex]
by comparison to [tex]y = mx + b[/tex], this is linear because [tex]m= 0[/tex]
Others are not linear
