What is the slope of the line that passes through the points (–2, 5) and (1, 4)? (1 point) Responses –3 –3 –2 –2 Image with alt text: negative one third
To find the slope of the line that passes through the points (–2, 5) and (1, 4), we use the formula:
slope = (change in y-coordinates)/(change in x-coordinates)
Given points:
Point 1: (-2, 5)
Point 2: (1, 4)
Change in y-coordinates: 4 - 5 = -1
Change in x-coordinates: 1 - (-2) = 1 + 2 = 3
So, the slope of the line is (-1)/(3), which can be written as -1/3 in fraction form or approximately -0.333 in decimal form.
Therefore, the correct answer is: -1/3.