**Method 1 : Convert to slope intercept form**

#color(white)("XXXX")#A linear equation in the form:

#color(white)("XXXX")##color(white)("XXXX")##y = mx+b#

#color(white)("XXXX")#is in slope intercept form with slope #=m#

#color(white)("XXXX")#and y-intercept #=b#

#3x+4y = 0#

#rarr 4y = -3x + 0#

#rarr y = -3/4x+0##color(white)("XXXX")#(slope intercept form with slope #-3/4# and y intercept #= 0#

Substituting #y=0# into the original equation gives #x=0#, the x-intercept.

**Method 2: Use the slope formula for a standard form linear equation**

#color(white)("XXXX")#A linear equation in standard form:

#color(white)("XXXX")##color(white)("XXXX")##Ax+By=C#

#color(white)("XXXX")#has a slope of #-(A/B)#

#color(white)("XXXX")#or, in this case

#color(white)("XXXX")##color(white)("XXXX")#-3/4#

The y-intercept is the value of y when #x=0#

#rarr # y intercept # = 0#

The x-intercept is the value of x when #y=0#

#rarr # x intercept # =0#