Q. Which describes the system of equations below?y=−9x+25y=−9x+25Choices:(A)consistent and independent(B)inconsistent(C)consistent and dependent
Identify Slopes: We have the system of equations:y = −9x+25y = −9x+25Identify whether the slopes of both the equations are the same.In y=−9x+25, the slope is −9.In y=−9x+25, the slope is −9.Yes, the slopes of both the equations are the same.
Identify Y-Intercepts: We have the system of equations:y=−9x+25y=−9x+25Identify whether the y-intercepts of both the equations are the same.In y=−9x+25, the y-intercept is 25.In y=−9x+25, the y-intercept is 25.Yes, the y-intercepts of both the equations are the same.
Choose System Description:y=−9x+25y=−9x+25Choose the option which describes the given system of equations.Since the slopes and y-intercepts are the same, the system of equations is consistent and dependent.