Question

this equation describes a relationship between x and y.
$y = 2x$
complete the table and select the graph that shows this relationship.

x	y
4	8
5	10
6	12

Explanation:

Step1: Verify table values

Use $y=2x$:

• $x=3$: $y=2\times3=6$
• $x=4$: $y=2\times4=8$
• $x=5$: $y=2\times5=10$
• $x=6$: $y=2\times6=12$

Step2: Match to correct graph

The equation $y=2x$ is a linear function with a y-intercept of 0 (passes through $(0,0)$). Check which graph includes the points from the table and starts at $(0,0)$. The right graph passes through $(0,0)$ and aligns with the proportional relationship of $y=2x$, while the left graph has a non-zero y-intercept.

Answer:

1. The completed table values are correct as provided:

• $x=3, y=6$
• $x=4, y=8$
• $x=5, y=10$
• $x=6, y=12$

1. The correct graph is the right-hand grid (the one with the cursor pointing to it, passing through the origin $(0,0)$).