Question

What is the slope of the line that goes through the ordered pairs (8,12) and (4,6)?

A) 1.5
B) 4
C) 5
D) 2.4

Answer 1

The slope of the line that passes through points (8,12) and (4,6) is calculated using the slope formula and is found to be 1.5, which corresponds to option A.

Step-by-step explanation:

To find the slope of a line passing through two points, we use the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. For the points (8,12) and (4,6), we calculate the slope as follows:

• First, subtract the y-coordinates: 12 - 6 = 6.
• Next, subtract the x-coordinates: 8 - 4 = 4.
• Divide the difference in y-coordinates by the difference in x-coordinates: 6 / 4 = 1.5.

The slope of the line is 1.5, which matches option A.