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

Answer:

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

Step-by-step 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

$m = \frac{y_2 -y_ 1}{x_2 -x_1 }$

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

$\frac{3}{2} = \frac{5 - - 1}{2 - g} \\ \frac{3}{2} = \frac{5 + 1}{2 - g } \: \: \: \: \: \: \: \frac{3}{2} = \frac{6}{2 - g} \\ \\ 3(2 - g) = 6(2) \\ 6 - 3g = 12 \\ - 3g = 12 - 6 \\ - 3g = 6 \\ \\ \frac{ - 3g}{ - 3} = \frac{6}{ - 3} \\ \\ g = - 2$

We have the final answer as

g = - 2

Hope this helps you