Question

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

Answer 1

`\huge{ \boxed{ \bold{g = - 2}}}`

Explanation:

In order to find g we have to use the formula for finding the slope of the line passing through two points that's

`m = (y_2 -y_ 1)/(x_2 -x_1 ) \\`

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are (g, -1) and (2, 5) and m = 3/2

We substitute it into the equation and find g

That's

`(3)/(2) = (5 - - 1)/(2 - g) \\ (3)/(2) = (5 + 1)/(2 - g ) \: \: \: \: \: \: \: (3)/(2) = (6)/(2 - g) \\ \\ 3(2 - g) = 6(2) \\ 6 - 3g = 12 \\ - 3g = 12 - 6 \\ - 3g = 6 \\ \\ ( - 3g)/( - 3) = (6)/( - 3) \\ \\ g = - 2`

We have the final answer as

g = - 2

Hope this helps you