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?
-5
-2
3
4
We can use the formula for the slope between two points, which is given by:
m = (y2 - y1) / (x2 - x1)
In this case, the two points are (g, -1) and (2, 5), so we have:
m = (5 - (-1)) / (2 - g)
We are given that the slope is 3/2. So we can substitute this into the equation:
3/2 = (5 - (-1)) / (2 - g)
Now we can cross multiply:
3(2 - g) = 2(5 - (-1))
6 - 3g = 10 + 2
-3g = 12
g = -4
Therefore, the value of g is -4.
-4 was not an option give.
Apologies for the mistake. Let's solve the equation again:
m = (5 - (-1)) / (2 - g)
3/2 = (5 + 1) / (2 - g)
3/2 = 6 / (2 - g)
Cross multiplication:
3(2 - g) = 2 * 6
6 - 3g = 12
-3g = 6
g = -2
Therefore, the value of g is -2.