Question

Which ordered pair describes a translation of 6 units up up and 4 units left

Answer 1

Answer:

The correct answer for this is $(-4,6)$.

Step-by-step explanation:

As it can be seen from the attached graph image:

• The y-axis increases in positive values when we move in up direction i.e. we have +y-axis in upward direction.
• The y-axis decreases and keeps on becoming more and more negative values when we move in down direction i.e. we have -y-axis in downward direction.
• The x-axis increases in positive values when we move in right direction i.e. we have +x-axis in right direction.
• The x-axis decreases and keeps on becoming more and more negative values when we move in left direction i.e. we have -x-axis in left direction.

Now, according to question, the translation is performed 6 points up i.e. towards positive y-axis and 4 points towards left i.e. towards negative x-axis.

And, as per rule, the co-ordinates are represented as $(x,y)$ where $x$ is the x-co-ordinate and $y$ is y-co-ordinate.

So, the answer here is $(-4,6)$.