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

##### 1 Answer

Mar 10, 2018

#### 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#