How do you find the intercepts of the line #y=5x-15#?

1 Answer
May 25, 2017

Answer:

#x#-intercept: #(3,0)#
#y#-intercept: #(0,-15)#

Explanation:

To find the intercepts, set #x# and #y# equal to #0# in turn

#color(red)(y)=5color(blue)(x)-15#

For the #x#-intercept: set #color(red)(y=0)#

# color(red)(0)= 5x-15#

#15 = 5x#

#3=x#

#x#-intercept is #(3,0)#

For the #y#-intercept: set #color(blue)(x=0)#

# y= 5(color(blue)(0))-15#

#y = -15#

#y#-intercept is #(0,-15)#