Question

What is the function rule for the line?

f(x)=−23x−2

f(x)=−32x+2

f(x)=−32x−2

f(x)=32x−2

Answer 1

Answer: f(x)=−23x−2

Explanation:

Answer 2

`y=-(2)/(3)x-2`

Explanation:

By the given graph,

The line is passes through (-3, 0) and (0, -2),

Since, the equation of the line passes through
`(x_1, y_1)` and
`(x_2, y_2)` is,

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Thus, the equation of the line shown in the graph,

`y-0=(-2-0)/(0+3)(x+3)`

`y=-(2)/(3)(x+3)`

`y=-(2)/(3)x-2`