Question

What is the equation of the line that passes through the point (-6, 4) and has a slope of -5/6

Answer 1

Answer:

$y = -\frac{5}{6}x -1$

Step-by-step explanation:

So, we know the slope is -5/6. From here we can write this equation:

$y = -\frac{5}{6}x + b$

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:

$4 = -\frac{5}{6} (-6) + b\\4 = \frac{30}{6} + b\\4 = 5 + b \\-1 = b$

Now, we can write the equation as follows:

$y = -\frac{5}{6}x -1$

I hope this helps!!

- Kay :)