6
QuizMultiple Choice

Solving Systems of Linear Equations: Graphing — Quiz

Question 6 • Algebra I

A system of equations has no solution. If y is equal to 8 x plus 7 is one of the equations, which could be the other equation?

Answer
A
y is equal to 8 x minus 7
B
2 y is equal to negative 16 x minus 14
C
y is equal to negative 8 x plus 7
D
2 y is equal to 16 x plus 14

Explanation

For two linear equations to have no solution, their lines must have the same slope but different y-intercepts. The given line has slope 8 and y-intercept 7. Choice A, y = 8x − 7, has the same slope but a different y-intercept, so the lines are parallel and never intersect.

AI-written and checked against the verified answer.

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