Question

How do you find the slope of 2x+y=3?

Answer 1

The slope of `2x+y=3` is `-2`

Explanation:

Method 1
For a linear equation in standard form
`color(white)("XXXX")` `Ax+By=C`
the slope is given by the equation
`color(white)("XXXX")` `m=-A/B`

In this case that becomes
`color(white)("XXXX")` `m= - 2/1 = -2`

Method 2 (more common, but often more work)
Convert the equation into "slope-point form":
`color(white)("XXXX")` `y = mx+b`
`color(white)("XXXX")` `color(white)("XXXX")`with a slope of `m` and a y-intercept of `b`

`2x+y = 3`

`rarr` `color(white)("XXXX")` `y = -2x+3`