The graph of linear function g passes through the points (-4, 4) and (4, 6), as shown. What are the slope and y-intercept of the graph g?

The slope of a linear function is given by the formula:

slope = (change in y)/(change in x)

Using the coordinates (-4,4) and (4,6), we can calculate the change in y and the change in x as follows:

change in y = 6 - 4 = 2
change in x = 4 - (-4) = 8

Therefore, the slope = 2/8 = 1/4.

To find the y-intercept, we can substitute the coordinates of one of the points into the equation for a linear function, which is:

y = mx + b

Using the point (-4,4), we have:

4 = (1/4)(-4) + b

Multiplying through by 4, we get:

16 = -4 + 4b

Rearranging the equation, we have:

20 = 4b

Dividing through by 4, we get:

b = 5

Therefore, the y-intercept of the graph g is 5.

In conclusion, the slope of the graph g is 1/4 and the y-intercept is 5.