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)

–5
–5

–2
–2

2
2

5

Answer 1

To find the value of y, we need to use the formula for slope:

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

We are given that the slope is one-fourth, so we can substitute the coordinates of the two points into the formula:

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

Simplifying the equation:

1/4 = (y + 1) / 4

Cross multiplying:

1 = y + 1

Subtracting 1 from both sides:

y = 0

So, the value of y is 0.