To solve this question, we need to:
1. Use the slope formula for a line.
2. Identify each coordinate, and label them appropriately.
The formula for the slope of a line is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have the points:
(9, 9) and (4, 7)
Then, we have:
x1 = 4
y1 = 7
x2 = 9
y2 = 9
Then, applying the previous formula, we have:
[tex]m=\frac{9-7}{9-4}=\frac{2}{5}\Rightarrow m=\frac{2}{5}[/tex]
Then, the slope of the line is m = 2/5.
If we see the two coordinates in a graph, the slope is positive. That is why we need to take the coordinates (9, 9) as x2, and y2. We can see this in the following graph:
That is, we mean point x1 is really (x1, y1), and x2 is (x2, y2).
