A line passes through the points in this table. (11,7) (12,6) (13,5) and (14,4)
To find the equation of the line passing through these points, we can use the point-slope form of a linear equation.
The point-slope form is given by: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
Let's take the first two points (11, 7) and (12, 6) to find the slope:
m = (6 - 7) / (12 - 11) = -1 / 1 = -1
Now we can pick any point on the line to find the equation. Let's use the point (11, 7):
y - 7 = -1(x - 11)
Simplifying the equation:
y - 7 = -x + 11
y = -x + 11 + 7
y = -x + 18
So, the equation of the line passing through the points (11, 7), (12, 6), (13, 5), and (14, 4) is y = -x + 18.