The pair of points (6, y) and (10, –1) lie on a line with slope 1/4. What is the value of y?
–5
–2
2
5
I think it might be -2?
you are correct.
To determine the value of y, we can use the formula for the slope of a line, which is given by:
m = (y2 - y1) / (x2 - x1)
In this case, we are given that the slope, m, is 1/4. Using the coordinates (6, y) and (10, -1), we can substitute these values into the formula:
1/4 = (-1 - y) / (10 - 6)
Now we can solve for y:
1/4 = (-1 - y) / 4
Cross-multiplying the equation gives:
4 = -1 - y
Rearranging the equation gives:
y = -1 - 4
y = -5
Therefore, the value of y is -5. So the correct answer is -5, not -2.