the pair of points (g, -1) and (2, 5) lie on a line with a slope of 2/3 . what is the value of g? responses -5 -5 3 3 4 4 -2 -2
To find the value of g, we can use the point-slope formula:
slope = (y2 - y1)/(x2 - x1)
Using the given points (g, -1) and (2, 5):
2/3 = (5 - (-1))/(2 - g)
Now, we can simplify the equation:
2/3 = (5 + 1)/(2 - g)
2/3 = 6/(2 - g)
To remove the fractions, we can cross-multiply:
2(2 - g) = 3(6)
4 - 2g = 18
-2g = 18 - 4
-2g = 14
Finally, we solve for g:
g = 14/(-2)
g = -7
Therefore, the value of g is -7.