Question

guided practice: label the x - axis, y - axis, origin and the quadrants. graph each point on the grid. graph: a (3,4) b (-4,-2) c (-1,3) d (2,-2) e (0,3) f (-4,0)

Explanation:

Step1: Label the axes and origin

The horizontal line is the x - axis. Label it with numbers from - 5 to 5. The vertical line is the y - axis. Label it with numbers from - 5 to 5. The point where the x - axis and y - axis intersect is the origin (0,0).

Step2: Divide into quadrants

The plane is divided into four quadrants. The top - right quadrant is Quadrant I where both x and y are positive. The top - left quadrant is Quadrant II where x is negative and y is positive. The bottom - left quadrant is Quadrant III where both x and y are negative. The bottom - right quadrant is Quadrant IV where x is positive and y is negative.

Step3: Graph point A(3,4)

Start at the origin. Move 3 units to the right along the x - axis (because x = 3) and then 4 units up along the y - axis (because y = 4).

Step4: Graph point B(-4,-2)

Start at the origin. Move 4 units to the left along the x - axis (because x=-4) and then 2 units down along the y - axis (because y = - 2).

Step5: Graph point C(-1,3)

Start at the origin. Move 1 unit to the left along the x - axis (because x=-1) and then 3 units up along the y - axis (because y = 3).

Step6: Graph point D(2,-2)

Start at the origin. Move 2 units to the right along the x - axis (because x = 2) and then 2 units down along the y - axis (because y=-2).

Step7: Graph point E(0,3)

Since x = 0, we don't move left or right. Move 3 units up along the y - axis.

Step8: Graph point F(-4,0)

Since y = 0, we don't move up or down. Move 4 units to the left along the x - axis.

Answer:

The axes, origin, quadrants are labeled and the points A(3,4), B(-4,-2), C(-1,3), D(2,-2), E(0,3), F(-4,0) are graphed on the coordinate plane.