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)
Responses
–5
–5
–2
–2
2
2
5
5
To find the value of y, we can use the formula for slope:
slope = (change in y) / (change in x)
Using the two given points, we have:
slope = (y - (-1)) / (6 - 10) = (y + 1) / (-4)
We are given that the slope is one-fourth, so we can set up the equation:
1/4 = (y + 1) / (-4)
To solve for y, we can cross-multiply:
4(y + 1) = -4/1
4y + 4 = -4
4y = -8
y = -8/4
y = -2
Therefore, the value of y is -2.