Question

Find the slope of a line that passes through these two ordered pairs.
(5,-6), (7,-15)

Answer 1

The slope is -9/2.

Step-by-step explanation:

We can find the slope between two ordered pairs (aka points) using the slope formula, which is given by:

m = (y2 - y1) / (x2 - x1), where:

• m is the slope,
• (x1, y1) is one point,
• and (x2, y2) is another point.

Thus, we can find the slope by substituting (5, -6) for (x1, y1) and (7, -15) for (x2, y2):

m = (-15 - (-6)) / (7 - 5)

m = (-15 + 6) / (2)

m = -9/2

Therefore, -9/2 is the slope of the line that passes through the ordered pairs (5, -6) and (7, -15).

Answer 2

The slope of a line that passes through the points (5, -6) and (7, -15) is calculated using the formula m = (y2 - y1) / (x2 - x1), which results in a slope of -4.5.

Step-by-step explanation:

The slope of a line passing through two points (5, -6) and (7, -15) is determined by finding the difference in the y-coordinates (the rise) and dividing it by the difference in the x-coordinates (the run). The formula to calculate the slope (m) between two points (x1, y1) and (x2, y2) is given by the following equation:

m = (y2 - y1) / (x2 - x1)

Applying this formula to the given points:

1. First, identify the coordinates: (x1, y1) = (5, -6) and (x2, y2) = (7, -15).
2. Next, subtract the y-coordinates: y2 - y1 = (-15) - (-6) = -9.
3. Then, subtract the x-coordinates: x2 - x1 = (7) - (5) = 2.
4. Finally, divide the differences to find the slope: m = -9 / 2 = -4.5.

Therefore, the slope of the line that passes through the points (5, -6) and (7, -15) is -4.5.