Question

if you were to plot the point (4,12) what would be the correct method?
start at (0,0) and then multiply 4 × 12
start at 4 and then down 12
start at the origin, then go over 4 and then go up 12
start at the origin, then go up 4 and then go over 12

Explanation:

To plot a point \((x,y)\) in a coordinate plane, we start at the origin \((0,0)\). The \(x\)-coordinate tells us the horizontal (left - right) movement and the \(y\)-coordinate tells us the vertical (up - down) movement. For the point \((4,12)\), the \(x\)-coordinate is \(4\) (so we move 4 units to the right from the origin) and the \(y\)-coordinate is \(12\) (so we move 12 units up from there).

• Option 1: Multiplying \(4\times12\) is not related to plotting a point, so this is incorrect.
• Option 2: Moving down 12 is wrong because the \(y\)-coordinate \(12\) is positive, which means we should move up, not down. Also, starting at 4 without reference to the origin is incorrect.
• Option 3: Starts at the origin, moves over (right) 4 (for the \(x\)-coordinate) and then up 12 (for the \(y\)-coordinate), which is the correct method.
• Option 4: Mixes up the \(x\) and \(y\) movements. We should move over (horizontal) for the \(x\)-coordinate and up (vertical) for the \(y\)-coordinate, but this option swaps them.

Answer:

C. Start at the origin, then go over 4 and then go up 12