Question

which method will not get you to the point (5, 2.5)? starting at the origin, go 5 spaces to the right and then 2.5 spaces up. starting at the origin, go 2.5 spaces up and then 5 spaces to the right. starting at the origin, go 2.5 spaces to the right and then 5 spaces up. put one finger on 5 on the x - axis, and put another finger halfway between 2 and 3 on the y - axis. move the first finger up and the second finger to the right until they meet.

Explanation:

Step1: Recall coordinate - point movement

In a Cartesian coordinate system, for a point $(x,y)$, $x$ represents the horizontal displacement and $y$ represents the vertical displacement from the origin $(0,0)$. For the point $(5, 2.5)$, $x = 5$ and $y=2.5$.

Step2: Analyze the first option

Starting at the origin $(0,0)$, going 5 spaces to the right (which is the $x -$ direction) and then 2.5 spaces up (the $y -$ direction) will get us to the point $(5,2.5)$.

Step3: Analyze the second option

Starting at the origin, going 2.5 spaces up (in the $y -$ direction) and then 5 spaces to the right (in the $x -$ direction) will also get us to the point $(5,2.5)$.

Step4: Analyze the third option

Starting at the origin, going 2.5 spaces to the right (in the $x -$ direction) and then 5 spaces up (in the $y -$ direction) will get us to the point $(2.5,5)$ not $(5,2.5)$.

Step5: Analyze the fourth option

Putting one finger on 5 on the $x -$ axis and another halfway between 2 and 3 on the $y -$ axis (i.e., $y = 2.5$) and moving them until they meet will get us to the point $(5,2.5)$.

Answer:

Starting at the origin, go 2.5 spaces to the right and then 5 spaces up.