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Chapter 7: Problem 23

Graph each equation in Exercises 21-32. Select integers for \(x\) from \(-3\) to 3 , inclusive. \(y=x-2\)

Short Answer

Expert verified
The graph of the equation \(y = x - 2\) is a straight line sloping upwards that passes through the points for all \(x\) from -3 to 3, inclusive.

Step by step solution

01

Create a table of values

Make a table with \(x\) values ranging from -3 to 3. Next, calculate corresponding \(y\) values using the equation \(y = x - 2\).
02

Calculate the corresponding y values

For each \(x\) from -3 to 3, calculate \(y\) values. Substitute each \(x\) into the equation \(y = x - 2\). For example, when \(x = -3\), \(y = -3 - 2 = -5\). Continue with other \(x\) values to get the \(y\) values.
03

Plot the points on the graph

Taking pairs of \((x, y)\) values from your table, plot each point on a Cartesian plane. Remember that \(x\) represents the horizontal position and \(y\) represents the vertical position.
04

Draw the line

Once all points are plotted, draw a straight line passing through them. This line represents the graph of the equation \(y = x - 2\).

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Most popular questions from this chapter

Without graphing, Determine if each system has no solution or infinitely many solutions. \(\left\\{\begin{array}{l}3 x+y \leq 9 \\ 3 x+y \geq 9\end{array}\right.\)

Graph the solution set of each system of inequalities. \(\left\\{\begin{array}{l}x \leq 3 \\ y>-1\end{array}\right.\)

Without graphing, Determine if each system has no solution or infinitely many solutions. \(\left\\{\begin{array}{l}6 x-y \leq 24 \\ 6 x-y>24\end{array}\right.\)

Describe the shape of a scatter plot that suggests modeling the data with a quadratic function.

Describe the shape of a scatter plot that suggests modeling the data with a logarithmic function.
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