Final answer:
By applying the slope formula and plugging in the given slope and coordinates, we find that the value of g is -1.
Step-by-step explanation:
To find the value of g for the line with a slope of 9 that passes through the points (-7, -10) and (-6, g), we can use the slope formula:
slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)
Here, we know the slope (m) is 9, and the coordinates are (-7, -10) and (-6, g). Let's set up the equation with our known values:
9 = (g - (-10)) / (-6 - (-7))
Simplify and solve the equation:
9 = (g + 10) / 1
9 = g + 10
Subtract 10 from both sides to find g:
g = 9 - 10
g = -1
Therefore, the value of g is -1.