The pair of points (g, -1) and (2, 5) lie on a line with a slope of 32

Question

. What is the value of g?
Responses

-5

-2

4

3

Answer 1

To find the value of g, we can use the formula for slope, which is (y2 - y1) / (x2 - x1).

Given that the slope is 32 and the two points are (g, -1) and (2, 5), we can substitute the values into the slope formula:

(5 - (-1)) / (2 - g) = 32

Simplifying the equation, we get:

6 / (2 - g) = 32

To solve for g, we can cross-multiply:

6 = 32 * (2 - g)

Now, we can distribute and simplify:

6 = 64 - 32g

Next, we can move the variables to one side and the constant to the other side:

32g = 64 - 6

32g = 58

Finally, we can solve for g by dividing both sides by 32:

g = 58 / 32

Simplifying, we get:

g = 1.8125

So, the value of g is approximately 1.8125. However, none of the given options match this answer, so the correct solution may not be listed.