How do you find the intercepts of the line #y=5x-15#? Algebra Graphs of Linear Equations and Functions Intercepts by Substitution 1 Answer EZ as pi May 25, 2017 #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)# Answer link Related questions What is the x and y Intercepts? How many intercepts can a line have? How do you use substitution to find intercepts? How do you identify the intercepts on a linear graph? How do you use the x and y intercepts to graph a linear equation? How do you find the x and y intercept for #y=2x+3#? How do you find the x intercept for #y=2#? What is the y intercept for the #y=2# graph? What is the y intercept for #x=-1#? How do you find the intercepts of #x^2y-x^2+4y=0#? See all questions in Intercepts by Substitution Impact of this question 8034 views around the world You can reuse this answer Creative Commons License