Q8. - Algebra 1

Question

Write the ordered pair for point B.

Step-by-Step Solution

Answer

The ordered pair that names each points of B is $(-3,1)$.

Step 1. State the concept for finding the coordinates of a point.

In rectangular coordinate system any point be in the form of $\left(x,y\right)$.

 

• In Quadrant I, both the coordinates of ordered pair are positive, that is, width="42" height="19" style="max-width: none; vertical-align: -3px;" $\left(+,+\right)$.
• In Quadrant II, first number is negative and second is positive, that is, $\left(-,+\right)$.
• In Quadrant III, both the coordinates of ordered pair are negative, that is, $\left(-,-\right)$.
• In Quadrant IV, first point is positive and second is negative, that is, $\left(+,-\right)$.

Step 2. Plot the point.

In order to plot the point B, observe that B is in second Quadrant.

 

To plot the graph of the point B, first move 3 units to the left starting from origin and then move 1 unit up.

 

Thus, the point is B$(-3,1)$.

Step 3. State the conclusion.

Since, the point B is in Quadrant II, therefore, the required coordinates of point B is $(-3,1)$.