The pair of points (g, -1) and (2, 5) lie on a line with a slope of 32
. What is the value of g?
Responses
-5
-2
4
3
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.