the pair of points (-6,y) and (4,8) lie on a line with a slope of 5/2.

the formula used to solve for the slope of a line is

the correct set up of this problem is 8-y/4-(-6)=

when solving this problem, in order to get the variable y out of the numerator you must _

the correct value for the missing y is _

The formula used to solve for the slope of a line is the slope formula:

slope = (y2 - y1) / (x2 - x1)

To solve for the slope in this problem, we can use the points (-6, y) and (4, 8), so the slope is:

slope = (8 - y) / (4 - (-6))

In order to get the variable y out of the numerator, we need to distribute the negative sign in -(-6) to get:

slope = (8 - y) / (4 + 6)

Simplifying further:

slope = (8 - y) / 10

So, the correct value for the missing y is 8.