Answer:
[tex]y = - \frac{4}{3} x - 5[/tex]
Step-by-step explanation:
The standard form for the equation of a line is
[tex]y = mx + c[/tex]
We were told that
[tex]y = 3 \: \: \: x = - 6 \: \: \: m = - \frac{4}{3} [/tex]
*Note m is the slope*
Therefore
[tex]y = mx + c \\ 3 = - \frac{4}{3} (- 6) + c \\ 3= 8 + c \\ 3 - 8= c \\ - 5 = c[/tex]
So the answer is
[tex]y = - \frac{4}{3} x - 5[/tex]
