Question

a student graphed the points a=(1,3), b=(0,4), and c=( - 3,1) and got the following picture: what points were graphed incorrectly? a and c were graphed incorrectly. b was graphed incorrectly. b and c were graphed incorrectly. none were graphed incorrectly.

Explanation:

Step1: Recall coordinate - point plotting rules

In a coordinate system, for a point $(x,y)$, $x$ is the horizontal displacement and $y$ is the vertical displacement from the origin $(0,0)$.

Step2: Analyze point $A=(1,3)$

For point $A$, $x = 1$ (move 1 unit to the right of the origin) and $y = 3$ (move 3 units up). The plotted point $A$ is correct.

Step3: Analyze point $B=(0,4)$

For point $B$, $x = 0$ means it lies on the $y$ - axis, and $y = 4$ means 4 units above the origin. But in the graph, it is plotted on the $x$ - axis, so $B$ is graphed incorrectly.

Step4: Analyze point $C=(-3,1)$

For point $C$, $x=-3$ (move 3 units to the left of the origin) and $y = 1$ (move 1 unit up). The plotted point $C$ is correct.

Answer:

B. $B$ was graphed incorrectly.