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.
To find the slope of a line passing through two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (-2, 5) and (1, 4):
slope = (4 - 5) / (1 - (-2))
slope = -1 / 3
Therefore, the slope of the line passing through these two points is -1/3.
To find the slope of the line that passes through the given points (-2, 5) and (1, 4), we can use the formula for slope, which is (change in y)/(change in x). Let's calculate it step-by-step.
Step 1: Determine the change in y
The change in y is the difference between the y-coordinates of the two points: 4 - 5 = -1.
Step 2: Determine the change in x
The change in x is the difference between the x-coordinates of the two points: 1 - (-2) = 1 + 2 = 3.
Step 3: Calculate the slope
Now, divide the change in y by the change in x to find the slope:
Slope = (-1)/3
Therefore, the slope of the line passing through the points (-2, 5) and (1, 4) is -1/3 or the fraction negative one third.