Answer: Draw a straight line through the points (0,5) and (4,0)
Explanation
The given equation is of the form y = mx+b where,
- m = -5/4 = slope
- b = 5 = y intercept
The y intercept is where the line crosses the y axis. In this case that location is (0,5).
Start at (0,5) and move down 5 units and right 4 units to arrive at (4,0). This "down 5, right 4" movement pattern is due to the slope.
slope = rise/run = -5/4 leads to rise = -5 and run = 4.
- rise = -5 = go down 5
- run = 4 = go right 4
Once you determine (0,5) and (4,0) are two points on the line, you have enough info to plot the line. Feel free to generate further points if you want more practice, but two points are sufficient.
Graphing tools like Desmos and GeoGebra can be used to confirm the answer.
