What is the y-intercept of 2x-5y =35? Algebra Graphs of Linear Equations and Functions Intercepts by Substitution 1 Answer VNVDVI Mar 2, 2018 #(0,-7)# Explanation: To find the #y#-intercept of an equation, set #x# equal to #0# and solve: In the case of #2x-5y=35,# let's replace all instances of #x# in the equation with #0# and solve for #y:# #2(0)-5y=35# #-5y=35# #(cancel(-5)y)/(cancel(-5))=35/-5# #y=-7# Thus, the #y#-intercept is at #(x,y)=# #(0,-7).# 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 8262 views around the world You can reuse this answer Creative Commons License