Question

How do you find the slope of the line `9x-5y=4`?

Answer 1

Slope `m=9/5`

Explanation:

Method 1: Re-write In slope-intercept form
`9x-5y=4`

`rarr -5y = -9x+4`

`rarr y = 9/5x-4/5`
`color(white)("XXX")`which is slope-intercept form
`color(white)("XXX")`with slope `=9/5` and y-intercept `=-4/5`

Method 2: Use the slope formula for a linear equation in standard form
For a linear equation in standard form:
`color(white)("XXX")Ax+By=C`
the slope is given by the formula:
`color(white)("XXX")m=-A/B`

In this case `A=9` and `B=-5`
so `color(white)("XXX")m= -9/(-5) = 9/5`