How do you find the x and y intercept of #2x-8y=24#? Algebra Graphs of Linear Equations and Functions Intercepts by Substitution 1 Answer Cri007 Mar 14, 2017 #(12,0)# #(0,-3)# Explanation: To find the #x#-intercept, we set #y=0#. Thus, #2x-8(0)=24#, and #2x=24#, so #x=12#. The point is therefore #(12, 0)#. To find the #y#-intercept, we set #x=0#. Thus, #2(0)-8y=24#, and #-8y=24#, so #y=-3#. The point is therefore #(0, -3)#. 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 3736 views around the world You can reuse this answer Creative Commons License