Multiple Choice
What is the slope of the line that passes through the points (–2, 5) and (1, 4)?
(1 point)
Responses
–3
–3
–2
–2
–The fraction negative one third.
– Image with alt text: The fraction negative one third.
The fraction one third.
–The fraction negative one third.
To find the slope of a line passing through two points (x1, y1) and (x2, y2), we use the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, (x1, y1) = (-2, 5) and (x2, y2) = (1, 4). Plugging in the values, we have:
slope = (4 - 5) / (1 - (-2))
= -1 / 3
So, the slope of the line is (-1/3), or the fraction negative one third.