A)

The pair of points (6, y) and (10, –1) lie on a line with slope 1/4 . What is the value of y?
(1 point)
–5
–2
2
5

3 answers

Let the coordinates of the first point be (6, y).

We are given that the slope of the line passing through these two points is 1/4.

We can use the formula for slope:

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

Where (x1, y1) = (6, y) and (x2, y2) = (10, -1)

Plugging in the values:

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

Multiplying both sides by (10 - 6):

4/4 = -1 - y

1 = -1 - y

Adding y to both sides:

y + 1 = -1

Subtracting 1 from both sides:

y = -2

Therefore, the value of y is -2.
A)
What is the slope of a vertical line?
(1 point)
–1
0
1
undefined
The slope of a vertical line is undefined.