Question

How do you find the slope of `4x - 3y = 3`?

Answer 1

Slope: `4/3`

Explanation:

For a linear equation in standard form:
`color(white)("XXX")Ax+By=C`
the slope can be derived by the formula
`color(white)("XXX")m=-A/B`
In this case `A=4, B=-3` so `m=-4/(-3) = 4/3`

Alternately, if you don't remember this formula
you could convert the equation into slope-intercept form:
`color(white)("XXX")y=mx+b` with slope `m` and y-intercept `b`
In this case
`color(white)("XXX")4x-3y=3`
`color(white)("XXX")rarr -3y=-4x+3`
`color(white)("XXX")rarr y =4/3x-1`
given the slope `m=4/3` (and y-intercept `(-1)`)