Graph y=5x-2

Problem

y=5*x−2

Solution

1. Identify the equation as a linear function in slope-intercept form, which is y=m*x+b

2. Determine the y-intercept from the constant term b=−2 which gives the starting point (0,−2) on the y-axis.

3. Identify the slope m=5 which represents the ratio of vertical change to horizontal change, or rise/run=5/1

4. Plot a second point by starting at (0,−2) and moving up 5 units and right 1 unit to reach the point (1,3)

5. Draw a straight line passing through the points (0,−2) and (1,3) to complete the graph.

Final Answer

To graph y=5*x−2 plot the y-intercept at (0,−2) and use the slope m=5 to plot a second point at (1,3) then connect them with a straight line.

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