Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

We can find the slope of the line using the formula:

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

The change in x between the two points is 10 - 6 = 4.
And the change in y between the two points is y - (-1) = y + 1.

So the slope is:

slope = (y + 1) / 4

From the given information, we know that the slope is .

So we can set up the equation:

= (y + 1) / 4

To find the value of y, we can cross multiply and solve for y:

* 4 = y + 1

Simplifying the equation, we get:

4 = y + 1

Subtracting 1 from both sides, we get:

3 = y

Therefore, the value of y is 3, which corresponds to the point (6, 3).