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
-5
-2
-2
4
4
3
To find the value of g, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.
First, we can calculate the slope of the line using the given points:
m = (y2 - y1) / (x2 - x1) = (5 - (-1)) / (2 - g) = 6 / (2 - g)
We are given that the slope is 32, so we can set this equal to our calculated slope:
32 = 6 / (2 - g)
Next, we can cross-multiply and solve for g:
32(2 - g) = 6
64 - 32g = 6
-32g = -58
g = 58 / 32
g ≈ 1.8125
Therefore, the value of g is approximately 1.8125. However, this answer is not one of the given options. It's possible that there is an error in the options provided.