Question

Using the slope formula, find the slope of the line through the given points. (7,9) and (1,3) What is the slope of the line? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope of the line is (Type an integer or a simplified fraction.) B. The slope of the line is undefined.

Answer 1

To find the slope of a line given two points, (x1, y1) and (x2, y2), we can use the formula: slope = (y2 - y1) / (x2 - x1)

In this case, the two points are (7,9) and (1,3). So, we have:

x1 = 7, y1 = 9, x2 = 1, y2 = 3.

First, we need to calculate the difference in y-coordinates, which is (y2 - y1), and the difference in x-coordinates, which is (x2 - x1).

So, we can find delta_y = y2 - y1 = 3 - 9 = -6 and delta_x = x2 - x1 = 1 - 7 = -6.

After that, to find our slope, we can divide delta_y by delta_x, but we need to be careful about one potential issue: division by zero. If delta_x equals zero, the slope is undefined.

In our case, delta_x isn't zero, so we divide -6 by -6, and we get 1.

So, the slope of the line through the points (7,9) and (1,3) is 1. Hence, the answer is option A: The slope of the line is 1.