Question

How do you find the slope of the line `4x-3y+7=0`?

Answer 1

`"slope "=4/3`

Explanation:

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

`•color(white)(x)y=mx+b`

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

`"Rearrange "4x-3y+7=0" into this form"`

`"subtract 4x from both sides"`

`cancel(4x)cancel(-4x)-3y++7=0-4x`

`rArr-3y+7=-4x`

`"subtract 7 from both sides"`

`-3ycancel(+7)cancel(-7)=-4x-7`

`rArr-3y=-4x-7`

`"divide all terms by "-3`

`(cancel(-3) y)/cancel(-3)=(-4)/(-3)x+(-7)/(-3)`

`rArry=4/3x+7/3larrcolor(blue)"in slope-intercept form"`

`rArr"slope "=4/3`