Question

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

Answer 1

`y = -(5)/(6)x -1`

Explanation:

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

`y = -(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 = -(5)/(6) (-6) + b\\4 = (30)/(6) + b\\4 = 5 + b \\-1 = b`

Now, we can write the equation as follows:

`y = -(5)/(6)x -1`

I hope this helps!!

- Kay :)