The value of 'g' is 17 and this can be determined by using the slope formula of the line and the given data.
Given :
A line has a slope of 2 and includes the points (4,g) and (-9,-9).
The following steps can be used in order to determine the value of g:
Step 1 - The slope formula of the line can be used in order to determine the value of 'g'.
Step 2 - The slope formula is given below:
[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Step 3 - Substitute the values of the known terms in the above formula.
[tex]\rm 2 = \dfrac{-9-g}{-9-4}[/tex]
Step 4 - Simplify the above expression in order to determine the value of 'g'.
[tex]-13\times 2 = -9-g[/tex]
g = 17
For more information, refer to the link given below:
https://brainly.com/question/3605446
