the coordinate points are in (x,y) format.
the points plotted are:
price 2.3 0.6 1.30 1.50 1.70 1.00 not popped 4 30 17 1 15 20
here they are in (x,y) format.
x is the price.
y is the number of kernels of corn that were not popped.
(x,y)
--------
(2.3, 4)
(.6, 30)
(1.3, 17)
(1.5,21)
(1.7,15)
(1,20)
i then drew a line of best fit as best i could.
the line of best fit is the line that minimizes the distance from each point to the line.
i picked 2 points to create this line.
those points were (.3,32) and (2.9,-2).
using these 2 points, i created the equation for this line.
that equation is y = -13.07692308 * x + 35.92307692.
i then used this equation to determine the value of y when x = 1.19.
that value of y was calculated to be 20.36153846.
on the graph, the value of y when x = 1.19 is shown as the point (x,y) = (1.19,20.362).
here's my graph.
the graphing software i used is at https://www.desmos.com/calculator
i plotted the points using the table function of that graphing software.
i looked at the graph and determined my line of best fit would go through the points (.3,32) and (2.9,-2)
the slope intercept form of the equation of a line is y = mx + x
m is the lsope
b is the y-intercept
i created the formula for the line using those 2 points.
i assigned (x1,y1) = (.3,32) and (x2,y2) = 2.9,-2)
the formula for the slope (y2 - y1) / (x2 - x1)
using that formula, i determined the slope of the line is equal to -13.07692308.
the equation became y = -13.07692308 * x + b
i then used one of the points to determine the y-intercept.
i used the point (2.9,-2) and replaced y with -2 and x with 2.9.
the equation of y = -13.07692308 * x + b became -2 = -13.07692308 * 2.9 + b
i solve for b to get b = -2 + 13.07692308 * 2.9.
this resulted in b = 35.92307692.
the equation of my line of best fit became:
y = -13.07692308 * x + 35.92307692
that't the line you see on the graph.
i then drew a vertical line at x = 1.19 to show the intersection of that line with the line of best fit.
that intersection is at (1.19,20.362).
that tells you the value of y is 20.362 when the value of x is 1.19.
in terms of the problem, it's telling you that you can expect approximately 20 kernels of corn to not be popped if you buy a bag of popcorn at a price of 1.19 per bag.