he pair of points (6, y) and (10, –1) lie on a line with slope one-fourth. What is the value of y?
(1 point)
Responses
–5
–5
–2
–2
2
2
5
5
The slope of the line passing through the points (6, y) and (10, -1) is given as:
m = (y - (-1)) / (6 - 10)
= (y + 1) / -4
Given that the slope is 1/4, we have:
(y + 1) / -4 = 1/4
Solving for y:
(y + 1) = -1
y = -2
Therefore, the value of y is -2. So, the correct answer is -2.