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?
Responses
4
4
-2
-2
3
3
-5
To find the value of g, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.
We know that the slope of the line is 3/2. Let's use the point-slope formula to find the equation of the line:
y - (-1) = (3/2)(x - g)
Simplifying, we get:
y + 1 = (3/2)(x - g)
Now, let's plug in the coordinates of the other point on the line, (2, 5), to find the value of g.
5 + 1 = (3/2)(2 - g)
6 = (3/2)(2 - g)
Multiplying both sides by 2/3:
4 = 2 - g
Subtracting 2 from both sides:
2 = -g
Dividing both sides by -1:
-2 = g
So, the value of g is -2.