Question
Does the graph show the proportional relationship y = 2x? * 1 point (0,0) (1,2) (2,4)
Answers
GPT-4o mini
To determine if the given points \((0,0)\), \((1,2)\), and \((2,4)\) indicate a proportional relationship defined by the equation \(y = 2x\), we can check if each point satisfies the equation.
1. For the point \((0,0)\):
\[
y = 2x \implies 0 = 2(0) \implies 0 = 0 \quad \text{(true)}
\]
2. For the point \((1,2)\):
\[
y = 2x \implies 2 = 2(1) \implies 2 = 2 \quad \text{(true)}
\]
3. For the point \((2,4)\):
\[
y = 2x \implies 4 = 2(2) \implies 4 = 4 \quad \text{(true)}
\]
Since all the points satisfy the equation \(y = 2x\), we can conclude that the graph does indeed show a proportional relationship. Thus, the answer is yes, the graph shows a proportional relationship.
1. For the point \((0,0)\):
\[
y = 2x \implies 0 = 2(0) \implies 0 = 0 \quad \text{(true)}
\]
2. For the point \((1,2)\):
\[
y = 2x \implies 2 = 2(1) \implies 2 = 2 \quad \text{(true)}
\]
3. For the point \((2,4)\):
\[
y = 2x \implies 4 = 2(2) \implies 4 = 4 \quad \text{(true)}
\]
Since all the points satisfy the equation \(y = 2x\), we can conclude that the graph does indeed show a proportional relationship. Thus, the answer is yes, the graph shows a proportional relationship.