Final answer:
The value of y that makes the slope of the line through the points (-1, 2) and (1, y) equal to 3 is 8.
Step-by-step explanation:
To find the value of y so that the line passing through the points (-1,2) and (1,y) has a slope of 3, we can use the slope formula m = (y2 - y1) / (x2 - x1).
Here, we know the following:
- x1 = -1
- y1 = 2
- x2 = 1
- y2 = y (this is what we want to find)
- m = 3
Now, substituting the known values into the slope formula:
3 = (y - 2) / (1 - (-1))
Multiplying both sides by the denominator, we get:
3 * 2 = y - 2
Thus:
6 = y - 2
Adding 2 to both sides gives us:
y = 8
The value of y that makes the slope of the line 3 is 8.