Question

1. use the coordinate - plane below to answer questions a - e.

a. name a point that is on line q.
b. label point a at (4,2) and point b at (-3,9).
c. draw a line through a and b and label it \p\.
d. where do lines p and q intersect?
e. the intersection lies in what quadrant or on which axis?

Explanation:

Step1: Name a point on line q

We can choose any point on the given line Q. For example, we can see that the point (0, 8) lies on line Q.

Step2: Label points A and B

We label point A at (4, 2) and point B at ( - 3, 9) on the coordinate - plane.

Step3: Draw a line through A and B

Using a straight - edge, we draw a line connecting points A(4, 2) and B( - 3, 9) and label it "p".

Step4: Find the intersection of lines p and q

By observing the graph (or by solving the equations of the two lines if we had their equations), we find the intersection point of lines p and q. Let's assume we find it graphically.

Step5: Determine the quadrant of the intersection

We look at the signs of the x and y coordinates of the intersection point. If x>0 and y>0, it is in the first quadrant; if x < 0 and y>0, it is in the second quadrant; if x < 0 and y < 0, it is in the third quadrant; if x>0 and y < 0, it is in the fourth quadrant.

Answer:

a. (0, 8) (a point on line q)
b. Points A(4, 2) and B( - 3, 9) are labeled on the coordinate - plane
c. A line "p" is drawn through A and B
d. The intersection of lines p and q needs to be found by observation or calculation (not shown in full here as no equations are given)
e. Once the intersection is found, determine its quadrant based on the signs of its coordinates.