What is the slope of the line through the points (2, 10) and (5, 8)?

The slope of a line is calculated by dividing the one y portion of the line by one x portion of the line. In this problem we have two points which can indicate us one portion of the y axis and one portion of the x axis. If we have two points of one line, then we can calculate its slope:
Point one (x1, y1)
Point two (x2, y2)
then the slope can be calculated as:
m = (y2 - y1)/(x2 - x1)

So lets use our data:
Point one (2, 10)
Point two (5, 8)
then the slope can be calculated as:
m = (8 - 10)/(5 - 2)
m = -2/3
therefore the slope is negative and is -2/3

$9,435.35

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 4.6/100

r = 0.046 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 7,500.00(1 + 0.046/12)(12)(5)

A = 7,500.00(1 + 0.003833333)(60)

A = $9,435.35