The slope of the line that passes through points ( -10, -8 ) and ( -8, -16 ) is -4. 
<u>Explanation:</u>
Points given = ( -10, -8) and ( -8, -16)
Slope = ?
( -10, -8 ) : x1 = -10 and y1 = -8
( -8, -16 ) : x2 = -8 and y2 = -16
We know,
slope = y2 - y1 / x2 - x1
Slope = -16 - ( -8) / -8 - (-10)
slope = -16 + 8 / -8 + 10
slope = -8 / 2
slope = -4
Therefore,  slope of the line that passes through points ( -10, -8 ) and ( -8, -16 ) is -4. 
 
        
             
        
        
        
Answer:2000
Step-by-step explanation:2500x0.2=500
2500-500=2000
 
        
                    
             
        
        
        
To solve this problem, we should understand how order of operations works. Perhaps the best way to show you this would be solving the problem with all of the work clearly labeled?
=4[2(21-17)+3]    Original Problem
=4[2(4)+3]           Solved the Parentheses
=4[8+3]                Multiplied the 2 and 4
=4[11]                   Added the 8 and 3
=44                       Multiplied the 4 and 11
An easy way to remember this is PEMDAS, which is an acronym for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. Although it will not apply in this scenario (because we have brackets), it will come in handy for many others like this.
Using all of the information above, we can conclude that this expression equals 4.  
        
             
        
        
        
Answer:
Maya, this is such a common question on here,  so i'm very interested in what's difficult about this problem for you.  Please comment about this. Below is the answer and how to find it.
Step-by-step explanation:
point P1 (5,35)  in the form (x1,y1)
point P2(-6,-31)  in the form (x2,y2)
slope = m
m = (y2-y1) / (x2-x1)
m = (-31-35) / (-6-5)
m = -66 / -11
they made it easy for you , huh
m = 6
use point / slope fomula,   y-y1 = m(x-x1)  and plug in one point,  either would work,  since i've already labeled it with point P1,  let's use that point
y-35 = 6(x-5)
y-35 = 6x-30
y = 6x - 30 + 35
y = 6x + 5
Maya, this really is a very common question on here,  I really am curious about what's tricky in the problem for you and many many others.  please let me know in comments section,  thanks  MMM
 
        
                    
             
        
        
        
TeUpon examination of the dissection of the trapezoid on each side, we can see that we can make out two isosceles triangles on each side. The angle on the corners of the base can be determined by sine function. we can also use pythagorean theorem, in which the other length is equal to 3". This leaves the shorter base equal to 11-2*3 equal to 5"