Graph y=-2X

Problem

y=−2*x

Solution

1. Identify the type of equation. This is a linear equation in the 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, b=0 meaning the line passes through the origin (0,0)

3. Determine the slope. The slope m=−2 which can be written as (−2)/1 This means for every 1 unit moved to the right along the x-axis, the graph moves 2 units down along the y-axis.

4. Calculate additional points to plot. If x=1 then y=−2*(1)=−2 giving the point (1,−2) If x=−1 then y=−2*(−1)=2 giving the point (−1,2)

5. Draw the line. Plot the points (0,0) (1,−2) and (−1,2) on a coordinate plane and connect them with a straight line.

Final Answer

y=−2*x

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