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 8913 views around the world You can reuse this answer Creative Commons License