Consider the equations and graph below. y = -3(x - 1)
y = -3x - 1

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.