Question

How do you find the slope of the graph of `3x+5y=10`?

Answer 1

`-3/5` is the slope of the line.

Explanation:

Rearrange the equation into slope-intercept form to find the slope:

`y = mx + b`

`"m = slope"`
`"b = y-intercept"`

So rearrange the problem so that the `y` is by itself on the left of the equal sign:

`3x +5y=10`

`5y = -3x + 10`

`y = -3/5x + 10/5`

`y = -3/5x + 2`

The slope is next to the `x`, so it is called `m` in the slope-intercept form:

`y = color(blue)mx + b`

`y = color(blue)(-3/5)x + 2`

`-3/5` is the slope of the line.