Graphing Linear Equations task
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Use this equation $y$ to answer the following question.
$| x | -3 | -2 | -1 | 0 | 1 | 2 | 3 |
| y | - | - | - | - | - | - | - |
a. Plot the pairs on Cartesian plane and join the points of a graph.
b. Is this graph linear or non linear.
c. From your graph read values of x if y=8.
This question includes visual content: A handwritten table with two rows labeled 'x' and 'y'. The 'x' row contains the values: -3, -2, -1, 0, 1, 2, 3. The 'y' row is empty, meant to be filled. There are sub-questions labeled a, b, and c requesting to plot the points, identify the linearity of the graph, and determine x when y=8, respectively.
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Step by Step Written Solution
In this problem, we are asked to analyze a relationship between x and y. Since the equation is not explicitly given, we will first determine it from the table provided. We have x values from negative three to three.
Linear Relation Analysis
| x | -3 | -2 | -1 | 0 | 1 | 2 | 3 |
|---|---|---|---|---|---|---|---|
| y | ? | ? | ? | ? | ? | ? | ? |
By looking at the bottom of the page, we can see the student has already started identifying it as a linear graph. In a simple linear relation like y equals x, we can fill in the table with identical values.
For part A, we need to plot these pairs on a Cartesian plane. Let's draw our axes and plot the points relative to the origin.
A. Plotting the Graph
Now we join these points. Because they all lie on a straight path, we draw a single straight line through all of them.
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