Question

What is the slope of the line that passes through (-3/4, 5) and (5/4. 2)?​

Answer 1

The slope of the line passing through (-3/4, 5) and (5/4, 2) is calculated using the formula 'rise over run' and is found to be -3/2.

Step-by-step explanation:

The slope of a line passing through two points can be calculated using the formula for slope, which is ‘rise over run’, or the change in y (vertical change) divided by the change in x (horizontal change). The formula is:

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

Applying this formula to the points given, (-3/4, 5) and (5/4, 2):

1. Find the difference in y-coordinates (rise): 2 - 5 = -3.
2. Find the difference in x-coordinates (run): (5/4) - (-3/4) = (5/4) + (3/4) = 8/4 = 2.
3. Divide the rise by the run to get the slope: m = -3 / 2.

Therefore, the slope of the line that passes through (-3/4, 5) and (5/4, 2) is -3/2, which can be interpreted as a fall of 3 units for every 2 units of run to the right.

Answer 2

The slope of the line passing through (-3/4, 5) and (5/4, 2) is calculated using the formula 'rise over run' and is found to be -3/2.

Step-by-step explanation:

The slope of a line passing through two points can be calculated using the formula for slope, which is ‘rise over run’, or the change in y (vertical change) divided by the change in x (horizontal change). The formula is:

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

Applying this formula to the points given, (-3/4, 5) and (5/4, 2):

1. Find the difference in y-coordinates (rise): 2 - 5 = -3.
2. Find the difference in x-coordinates (run): (5/4) - (-3/4) = (5/4) + (3/4) = 8/4 = 2.
3. Divide the rise by the run to get the slope: m = -3 / 2.

Therefore, the slope of the line that passes through (-3/4, 5) and (5/4, 2) is -3/2, which can be interpreted as a fall of 3 units for every 2 units of run to the right.