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
–5

–2
–2

2
2

5

Answer 1

To find the value of y, we can use the slope formula:

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

Plugging in the given points, we have:

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

To simplify this equation, we can multiply both sides by (10 - 6):

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

1 = (-1 - y) / 4

Multiply both sides by 4:

4 = -1 - y

Now, isolate y by subtracting 1 from both sides:

5 = -y

To solve for y, multiply both sides by -1:

-5 = y

Therefore, the value of y is -5.