Question

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

Answer 1

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.