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Chapter 1: Problem 47

Write each English sentence as an equation in two variables. Then graph the equation. The \(y\) -value is four more than twice the \(x\) -value.

Short Answer

Expert verified
The English sentence can be translated into the equation \(y = 2x + 4\). When this equation is graphed, it is a straight line that passes through the points (-2, 0), (0, 4), and (2, 8).

Step by step solution

01

Translate the English sentence into an equation

The sentence 鈥楾he y-value is four more than twice the x-value鈥� can be written as the equation \(y = 2x + 4\).
02

Get the values to plot the graph

To draw the graph of this equation, it's necessary to get some values of x and calculate the corresponding y. Let's choose a few arbitrary x-values, for example, -2, 0, and 2, and then calculate the corresponding y-values using the given equation \(y = 2x + 4\).
03

Plot the graph

The values obtained should be plotted on a graph. The x-values are represented on the horizontal axis and the y-values on the vertical axis. So, points (-2, 0), (0, 4), and (2, 8) should be plotted and connected with a straight line to complete the graph.

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