Question

What is the slope of the line whose equation is `5y + 6x-2=0`?

Answer 1

Slope: `color(blue)(-6/5)`

Explanation:

Method 1: convert into standard form: `color(black)(Ax+By=C)` with slope `color(black)(""(-A/B))`
`color(white)("XXXXXX")5y+6x-2=0`
`color(white)("XXXXXX")6x+5y=2`
`color(white)("XXX")`Slope `= -6/5`

Method 2: convert into slope-intercept form `color(black)(y=mx+b)` with slope `color(black)(m)`
`color(white)("XXX")5y+6x-2=0`
`color(white)("XXXXXX")5y=-6x+2`
`color(white)("XXXXXX")y=-6/5x+2/5`
`color(white)("XXX")`Slope `=-6/5`