Answer:
[tex]y = -\frac{5}{6}x -1[/tex]
Step-by-step explanation:
So, we know the slope is -5/6. From here we can write this equation:
[tex]y = -\frac{5}{6}x + b[/tex]
In the question they give us both the x and y in this equation (-6,4)
Plug them in to the equation and solve for b:
[tex]4 = -\frac{5}{6} (-6) + b\\4 = \frac{30}{6} + b\\4 = 5 + b \\-1 = b[/tex]
Now, we can write the equation as follows:
[tex]y = -\frac{5}{6}x -1[/tex]
I hope this helps!!
- Kay :)
