Determine the slope of the line a is -2, 1 b is one, six minus 5/3 5/3 3/5 - 3/5
To determine the slope of a line, we need to find the change in the y-values divided by the change in the x-values.
a) The coordinates for point a are (-2, 1). Let's say this point is given by A(x1, y1) = (-2, 1). Here, x1 = -2 and y1 = 1.
b) The coordinates for point b are (1, 6 - 5/3). Let's say this point is given by B(x2, y2) = (1, 6 - 5/3). Here, x2 = 1 and y2 = 6 - 5/3.
The change in y-values = y2 - y1 = (6 - 5/3) - 1 = 18/3 - 5/3 - 3/3 = 10/3
The change in x-values = x2 - x1 = 1 - (-2) = 3
Therefore, the slope of the line is the change in y-values divided by the change in x-values:
slope = (10/3) / 3
slope = 10/9
So, the slope of the line through points a and b is 10/9.