How do you find the x and y intercepts for #y= -5/3x+ 2#? Algebra Graphs of Linear Equations and Functions Intercepts by Substitution 1 Answer Mark D. Apr 11, 2018 (0,2) and (3,0) Explanation: The intercepts are when the #x and y# values are zero #y=(-5)/3x+2# when #x=0# is #y=0+2#, #y=2# #y=(-5)/3x+2# when #y=0# is #0=(-2)/3x+2# #=># #-2=(-2)/3x# by subtracting 2 from each side #=># #-6=-2x# by multiplying both sides by 3 #=># #3=x# by dividing both sides by -2 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 1261 views around the world You can reuse this answer Creative Commons License