How do you find the intercepts for #y= 7x + 3#?

1 Answer
May 20, 2018

Answer:

x: (#-3/7,0#)
y: (#0,3#)

Explanation:

x-intercept: set y=0
#\color(red)(0)=7x+3#
#-3=7x#
#-3/7=x#

y-intercept: set x=0
#y=7(\color(red)(0))+3#
#y=0+3=3#

Alternatively, you can already find the y-intercept because it is in the setup of the equation.
#y=mx+b# where #m=\text(slope)=7# and
#b=\text(y-intercept)=3#.