How do you find the intercepts for #y=3/4x + 4#?

1 Answer
Jul 24, 2015

Answer:

y intercept #=4#
x intercept #= -16/3#

Explanation:

The y-intercept is the value of #y# when #x=0#
#color(white)("XXXX")#Setting #x=0# in the given equation:
#color(white)("XXXX")##color(white)("XXXX")##y = 3/4(0) + 4#

#color(white)("XXXX")##color(white)("XXXX")##y = 4#

The x-intercept is the value of #x# when #y =0#
#color(white)("XXXX")#Re-writing #y = 3/4x+4# as an expression for #x# in terms of #y#
#color(white)("XXXX")##color(white)("XXXX")##x = 4/3(y-4)#

#color(white)("XXXX")#Setting #y=0#
#color(white)("XXXX")##color(white)("XXXX")##x = 4/3(0-4)#

#color(white)("XXXX")##color(white)("XXXX")##x = -16/3#