Graph y=3x

Problem

y=3*x

Solution

1. Identify the type of equation. The equation y=3*x is a linear equation in slope-intercept form y=m*x+b where m is the slope and b is the y-intercept.

2. Determine the y-intercept. Since there is no constant term added to 3*x the y-intercept is b=0 This means the line passes through the origin (0,0)

3. Determine the slope. The slope is m=3 which can be written as the fraction 3/1 This represents a "rise" of 3 units for every "run" of 1 unit to the right.

4. Calculate additional points to plot. Substitute values for x into the equation to find corresponding y values.

x=1⇒y=3*(1)=3

x=−1⇒y=3*(−1)=−3

5. Plot the points (0,0) (1,3) and (−1,−3) on a coordinate plane and draw a straight line through them to complete the graph.

Final Answer

y=3*x

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