Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

set a pages 295 - 298 what ordered pair names point a? start at the ori…

Question

set a pages 295 - 298
what ordered pair names point a?
start at the origin. the x - coordinate is the horizontal distance along the x - axis. the y - coordinate is the vertical distance along the y - axis.
the ordered pair for point a is (7, 3).
set b pages 299 - 306
in the table, the x - coordinate is in the left column and the y - coordinate is in the right column. use the table to plot the ordered pairs. then draw a line to connect the points.
reteaching
remember to first find the x - coordinate. then find the y - coordinate. write the coordinates (x, y) in order.
use the grid to answer the questions.

  1. which point is located at (9, 5)?
  2. which point is located at (2, 3)?
  3. what ordered pair names point t?
  4. what is the ordered pair for the origin?

remember that you can use a tool, such as a ruler, to draw a line connecting the points on the graph.

  1. use the table below to plot the ordered pairs. then complete the graph by connecting the points.
  2. write ordered pairs for two more points on the line.

Explanation:

Response
Set A - Question 3: What ordered pair names Point T?

Step1: Find x - coordinate of T

Look at the grid. Point T is 3 units to the right of the origin along the x - axis. So the x - coordinate is 3.

Step2: Find y - coordinate of T

Point T is 4 units up from the origin along the y - axis. So the y - coordinate is 4.

Step3: Form the ordered pair

An ordered pair is in the form \((x,y)\). So for Point T, the ordered pair is \((3,4)\).

Step1: Recall origin definition

The origin is the point where the x - axis and y - axis intersect.

Step2: Determine coordinates

At the origin, the horizontal distance (x - coordinate) from the origin is 0, and the vertical distance (y - coordinate) from the origin is 0. So the ordered pair is \((0,0)\).

Step1: Find first additional point

Let's take \(x = 10\). Using \(y=\frac{1}{2}x\), when \(x = 10\), \(y=\frac{10}{2}=5\). So one ordered pair is \((10,5)\).

Step2: Find second additional point

Let's take \(x = 12\). Using \(y=\frac{1}{2}x\), when \(x = 12\), \(y=\frac{12}{2}=6\). So another ordered pair is \((12,6)\).

Answer:

\((3,4)\)

Set A - Question 4: What is the ordered pair for the origin?