Which is the slope of the line that passes through the points (2,10) and (5,8)? a. slope = 2/3 b. slope = 7/5 c. slope = 2/5 d. slope = -2/3

Slope = (Y2 - Y1) / (X2 -X1)

Slope = (8 -10) / (5 -2)

Slope = -2 / 3

Answer is D

D. slope = -2/3

Step-by-step explanation:

A first order function is given by the following formula:

In which a is the slope.

In this problem, we have that:

The line passes through the point (2,10). This means that when . So

The line also passes through the point (5,8). This means that when . So

So we solve a system with these two equations.

I am going to write b as a function of a in the second equation, and replace on the first. So

The correct answer is:

D. slope = -2/3