Problem

Graph the line. \[ y=4 x \]

Solution

Step 1 :The given equation is \(y=4x\). This is a linear equation in two variables x and y.

Step 2 :The slope of the line is 4. The slope of a line is the ratio of the vertical change (the change in y) to the horizontal change (the change in x).

Step 3 :The line passes through the origin (0,0) because when x=0, y=0.

Step 4 :To graph the line, we plot the line on a 2D graph with x and y ranging from -10 to 10.

Step 5 :The graph of the line is a straight line that passes through the origin and has a slope of 4. The line increases as x increases and decreases as x decreases.

Step 6 :\(\boxed{\text{The graph of the line } y=4x \text{ is a straight line that passes through the origin and has a slope of 4.}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/34146/

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