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

Question

(1 point)
Responses

–5

–2

2

5

Answer 1

To find the slope of a line passing through two points, we can use the formula:

m = (y2 - y1) / (x2 - x1)

In this case, the points are (6, y) and (10, -1). Plugging in these coordinates, we get:

1/4 = (-1 - y) / (10 - 6)

Multiplying both sides by (10 - 6), we get:

1 = (-1 - y) / 4

Multiplying both sides by 4, we get:

4 = -1 - y

Adding y to both sides, we get:

4 + y = -1

Subtracting 4 from both sides, we get:

y = -5

Therefore, the value of y is -5. The correct response is:
-5