Express each equation in slope-intercept form. Without graphing the equations, state whether the system of equations
has exactly one solution, no solution, or an infinite number of solutions.
-
A) no solution
B) one solution
C) infinite number of solutions

Question

Express each equation in slope-intercept form. Without graphing the equations, state whether the system of equations
has exactly one solution, no solution, or an infinite number of solutions.
-
A) no solution 
B) one solution 
C) infinite number of solutions

Quizplus · Accepted Answer

Since both equations have the same slope but different y-intercepts, they are parallel lines and do not intersect. Therefore, there is no solution to the system of equations. The equations are not given in slope-intercept form, but we can rewrite them as y = 2x + 5 and y = 2x + 7. These equations have the same slope (2) but different y-intercepts (5 and 7). Therefore, the lines are parallel and never intersect, so there is no solution to the system of equations.

Express Each Equation in Slope-Intercept Form