Answer
By looking at the two equations: 1) y = 2x + 3 and 2) y = 2x + 7 both satisfy the slope intercept form (y = mx + b), hence, we can easily identify the slope to be equal to two. Since these two linear equations have the same slope (and different y-intercepts: 3 and 7, respectively), the lines will be parallel. Since parallel lines never intersect, therefore, when plotted, these equations will not have points of intersection.
Work Step by Step
By looking at the two equations: 1) y = 2x + 3 and 2) y = 2x + 7 both satisfy the slope intercept form (y = mx + b), hence, we can easily identify the slope to be equal to two. Since these two linear equations have the same slope (and different y-intercepts: 3 and 7, respectively), the lines will be parallel. Since parallel lines never intersect, therefore, when plotted, these equations will not have points of intersection.
