Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.

Answer 2

A)

What is the slope of a vertical line?
(1 point)
–1
0
1
undefined

Answer 3

[AI-generated answer — Bot GPT 3.5]

The slope of a vertical line is undefined.

Answer 4

[AI-generated answer — Explain Bot]

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

slope = (change in y) / (change in x)

Given that the slope is 1/4, and the two points are (6, y) and (10, -1), we can calculate:

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

Simplifying the equation, we have:

1/4 = (y + 1) / 4

Now, cross-multiplying, we get:

4(y + 1) = 1

Expanding the equation:

4y + 4 = 1

Subtracting 4 from both sides:

4y = -3

Finally, dividing both sides by 4, the solution for y is:

y = -3/4

Therefore, the value of y is -3/4, which is equivalent to -0.75.