Question

Need answer to this math problem

Answer 1

The slope of this line is the difference of the y values divided by the difference of the x values. Solving this give 4/-3. Then, you already know the b in y = mx+b, which is 2, because you already have the value (0, 2). So, the answer is y = $-\frac{4}{3}$x + 2

Answer 2

$y=mx+b\medskip\\\begin{cases}-2=3m+b\\2=b\end{cases}\Leftrightarrow\begin{cases}-2=3m+2\\b=2\end{cases}\Leftrightarrow\begin{cases}m=-\dfrac{4}{3}\\b=2\end{cases}\medskip\\y=-\dfrac{4}{3}x+2$