Question

Determine the slope from the pair of coordinates (19,-2) and (-11,10)

1) 2/5
2)-5/2
3)-2/5
4)5/2

Also determine this slope for the pair of coordinates (12,-18) and (-15,-18)
1)undefined
2)12
3)1/12
4)0

Answer 1

The slope of the line passing through the points (19, -2) and (-11, 10) is -2/5. The slope of the line passing through the points (12, -18) and (-15, -18) is 0, indicating a horizontal line.

Step-by-step explanation:

To determine the slope of a line passing through two points, you can use the slope formula, which is \(m = \frac{y_2 - y_1}{x_2 - x_1}\), where (x_1, y_1) and (x_2, y_2) are the coordinates of the two points.

For the first pair of coordinates:

The slope is -2/5, which is option 2).

For the second pair of coordinates:

Since the numerator is 0, this indicates a horizontal line, and therefore, the slope is 0, which is option 4).