Question

Hey guys i need help please its slope and im struggling

Answer 1

Answer:

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

Step-by-step 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: $y - 2 = - \frac{2}{3}(x + 1)$

$\implies y = -\frac{2}{3}x - \frac{2}{3} + 2$

$\implies y = - \frac{2}{3}x + \frac{(-2 + 6)}{3}$

$\implies y = -\frac{2}{3}x + \frac{4}{3}$

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

Hence, the answer.