Can somebody help me find the slope? Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.26 and January 2006 the price of regular gasoline was $2.31. (Bureau of Labor Statistics, 2006). Use the coordinate (1997, 1.26) and (2006,2.31) to find the slope( or rate of change) between the two points. Describe how you arrive at your answer. It's like do what?
Slope intercept form = y = mx+b
The formula for finding the slope of a line is
M = (y2 - y1)/(x2 - x1)
M=(y2-y1)/(x2-x1)
To find the slope between the two points, you can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the coordinates of the two points are:
Point 1: (1997, 1.26)
Point 2: (2006, 2.31)
Now let's substitute the values into the formula:
slope = (2.31 - 1.26) / (2006 - 1997)
Simplifying this:
slope = 1.05 / 9
Therefore, the slope between the two points is approximately 0.1167, or rounded to three decimal places.
To explain how I arrived at this answer, I used the formula for finding the slope of a line. By subtracting the y-values of the two points (2.31 - 1.26) and dividing it by the difference in the x-values (2006 - 1997), I obtained the slope.