The points (4,8) and (6,g) fall on a line with a slope of –5. What is the value of g?

Explanation:

We will use the slope formula

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

Plugging in the given items leads to

-5 = (g-8)/(6-4)

Now solve for g

-5 = (g-8)/(6-4)

-5 = (g-8)/2

-5*2 = g-8

-10 = g-8

-10+8 = g

-2 = g

g = -2

We have (6,g) turn into (6,-2)

The two points (4,8) and (6,-2) are on a line of slope -5.

As a way to check, we'll find the slope of the line through (4,8) and (6,-2)

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

m = (-2-8)/(6-4)

m = -10/2

m = -5

The answer is confirmed.