Consider the equations and graph below. y = negative 3 (x minus 1). Y = negative 3 x minus 1 On a coordinate plane, 2 lines are parallel to each other. Which explains why this system has no solution? Each has a slope of –3 and a y-intercept of –1, which makes the lines parallel. Each has a slope of –3 and a y-intercept of –1, which makes the lines equivalent. Each has a slope of –3, but one has a y-intercept of 3 and the other has a y-intercept of –1, which makes the lines parallel. Each has a slope of –3, but one has a y-intercept of 3 and the other has a y-intercept of –1, which makes the lines equivalent.