The pair of points (6, y) and (10, –1) lie on a line with slope one-fourth. What is the value of y?
(1 point)
–5
–2
2
5
To find the slope of a line passing through two points, we use the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the given points.
In this case, the given points are (6, y) and (10, -1).
Plugging the values into the formula, we have:
slope = (-1 - y) / (10 - 6)
Since we are given that the slope is one-fourth, we can set up the equation:
1/4 = (-1 - y) / (10 - 6)
To solve for y, we can cross-multiply:
4(-1 - y) = 1(10 - 6)
-4 - 4y = 10 - 6
-4y = 10 - 6 + 4
-4y = 8
Dividing both sides by -4, we have:
y = -2
Therefore, the value of y is -2.
The answer is -2.