Question

The points (-9,2) and (-1,x) lie on the same line. If the slope of the line is -5, what is x?

Answer 1

Answer: x would be 3 because it needs to make a slope of -5 which means if you have a 2 you add x as 3.

Step-by-step explanation:

Answer 2

Using the slope formula, the value of x for the point (-1, x) is calculated to be -38, lying on the same line as (-9, 2) with a slope of -5.

Step-by-step explanation:

To find the value of x for the point (-1, x) that lies on the same line as (-9, 2) with a slope of -5, we can use the slope formula:

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

Here, (x1, y1) is (-9, 2) and (x2, y2) is (-1, x). We know the slope (m) is -5.

So, -5 = (x - 2) / (-1 - (-9))

Now, we calculate:

-5 = (x - 2) / 8

Then:

-40 = x - 2

And finally:

x = -38

Thus, the coordinate of the second point is (-1, -38).