The pair of points (6, y) and (10, –1) lie on a line with slope one-fourth. What is the value of y?

Question

(1 point)
Responses

–5
–5

–2
–2

2
2

5
5

Answer 1

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.