Question

What is the slope of the line whose equation is -48 = 2x - 8y?
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Answer 1

The slope is
`(2)/(8)`

Explanation:

Take the general equation of a straight line
`y = mx+c`

Here
`m` is the slope of the line.

So let's get the equation of the line in the question in the same form.

`-48 = 2x-8y`

Add
`8y` to both sides:
`8y - 48 = 2x`

Add
`48` to both sides:
`8y = 2x + 48`

Divide by
`8` to get it into the general equation:
`y = (2)/(8) x + 6`

Now compare it to the general equation to find the value of
`m`. The value of
`m` is the coefficient of
`x` which we can see is
`(2)/(8)`