Question

4.1 and 4.2 warm up
name kalcgb
block b6
a read the following
a coordinate grid is made up of the intersection of two lines. the vertical line is called the y - axis.
and the horizontal line is called the x - axis. the lines intersect at the origin. the coordinates of
the origin are (0, 0).
example 1: write the ordered pair for each point.
point a: from the origin, move right 4 units and
down 2 units. the ordered pair is (4, - 2).
point b: from the origin, move left 3 units and
up 5 units. the ordered pair is (-3, 5).
example 2: write the point named by each ordered pair.
(1, 3): from the origin, move right 1 unit and
up 3 units. point c is located at (1, 3).
(-2, -3): from the origin, move left 2 units and
down 3 units. point d is located at (-2, -3).

Explanation:

Step1: Determine the x - coordinate

For a point in the coordinate plane, the x - coordinate is determined by the horizontal movement from the origin. If we move to the right, the x - coordinate is positive and if we move to the left, the x - coordinate is negative.
For point \(C\):
We move \(2\) units to the left from the origin. So the x - coordinate \(x=-2\).
For point \(M\):
We move \(4\) units to the right from the origin. So the x - coordinate \(x = 4\).
For point \(B\):
We move \(4\) units to the left from the origin. So the x - coordinate \(x=-4\).

Step2: Determine the y - coordinate

The y - coordinate is determined by the vertical movement from the origin. If we move up, the y - coordinate is positive and if we move down, the y - coordinate is negative.
For point \(C\):
We move \(1\) unit up from the origin. So the y - coordinate \(y = 1\).
For point \(M\):
We move \(4\) units up from the origin. So the y - coordinate \(y = 4\).
For point \(B\):
We move \(4\) units down from the origin. So the y - coordinate \(y=-4\).

Answer:

Point \(C\) is at \((-2,1)\), Point \(M\) is at \((4,4)\), Point \(B\) is at \((-4,-4)\)