Question

How do you find the slope given 4x-5y=3?

Answer 1

Isolate Y on one side and move from there by dividing both sides.

Explanation:

`4x-5y=3`
`-5y=-4x+3`
`y=4/5x-3/5`
so `m=4/5`

Answer 2

`"slope "=4/5`

Explanation:

`"the equation of a line in "color(blue)"point-slope form"` is.

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`"rearrange "4x-5y=3" into this form"`

`rArr-5y=-4x+3larrcolor(blue)"divide all terms by "-5`

`rArry=4/5x-3/5larrcolor(blue)"in slope intercept form"`

`rArr"slope "=m=4/5`