The pair of points (6,y) and (10,-1) lie on a line with slope 1/4. What is the value of y?
The slope of the line passing through the points (6, y) and (10, -1) is given by the formula:
m = (y2 - y1)/(x2 - x1) = (y - (-1))/(6 - 10) = (y + 1)/(-4) = 1/4.
To solve for y, we can cross multiply:
4(y + 1) = -4.
Simplifying, we have:
4y + 4 = -4.
Subtracting 4 from both sides, we get:
4y = -8.
Dividing by 4, we find:
y = -8/4 = -2.
Therefore, the value of y is -2.