Question

Hey guys i need help please its slope and im struggling

Answer 1

Slope, m =
`$ \frac{\textbf{-2}}{\textbf{3}} $`.

Explanation:

The slope of the line can be determined by simplifying the given equation to its standard form.

In the standard form, y = mx + c, m represents the slope of the line.

We are given:
`$ y - 2 = - (2)/(3)(x + 1) $`

`$ \implies y = -(2)/(3)x - (2)/(3) + 2 $`

`$ \implies y = - (2)/(3)x + ((-2 + 6))/(3) $`

`$ \implies y = -(2)/(3)x + (4)/(3) $`

Comparing it with the standard equation, we can see that the slope, m =
`$ \frac{\textbf{-2}}{\textbf{3}} $`.

Hence, the answer.