For the x intercept, first plug in y=0 and solve for x. So 2x+5y=10, is the given equation and then it becomes 2x+5(0)=0, once you plug in y=0. which leads to 2x+0=10 once you multiply 5 and 0. So then simplify to get 2x=10 divide both sides by 2 to eliminate 2x so it's 2x/2=10/2. Then solve for x for both sides so it will be x=5. The x intercept will be (5,0).
For the y intercept first you plug x=0 and solve for x So the equation is 2x+5y=10 but now becomes 2(0)+5y=10. Next multiply the 2 and 0 which becomes 0+5y=10. Simplify the equation so now it's 5y=10. Next is to divide both sides by 5 to isolate the y so 5y/5=10/5 Finally y=2 so the y intercept would be (0,2).
