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 1401 views around the world You can reuse this answer Creative Commons License