To find the y-intercept you have to covert -2x+5y=-10 into mx + b form. To do this you solve for y. For the first step, you add 2x to both sides. The 2nd step, you divide both sides by 5. The finial answer is y= 2/5x-2 which makes -2 your y-intercept since it intersects on the y axis. The answer is (0,-2)