Hey there, 
The question is to find the product of the two factors (2p + q)(-3q - 6p + 1). 
Now we just multiply across:
- -6pq - 12p² + 2p -3q²- 6pq + q 
Now we combine like terms:
So the result would be -12p² - 3q² + 2p + q.
Hope I helped, 
Amna 
 
        
             
        
        
        
Answer: B
Step-by-step explanation:
The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.
We can first eliminate C, because the y-intercept of the graph is 1. 
To solve for slope, which is the m, choose two points, (-1, 5) and (1, -3).
Slope = (y2 - y1) / (x2 - x1)  
            = (-3 - 5) / (1 - (-1))
           = (-3 - 5) / (1 + 1)
           = -8/2
           = -4
Plug in the slope and y-intercept, we get y = -4x + 1
         
 
        
             
        
        
        
Answer:
1/2= slope
-3= y-intercept
Step-by-step explanation:
According to the formula, y=mx-b:
 
        
             
        
        
        
Answer:
22
Step-by-step explanation:
Given that T is the midpoint of line PQ, segments PT = 5x + 2, and TQ = 7x - 6 that are formed would be equidistant or congruent. PT = TQ.
Therefore:

Let's find the value of x
Rearrange the equation, so that the terms having x would be on your left, while those without x would be on your right.


Divide both sides by -2

Plug in the value of x into the expression, 5x + 2, to find PT.
PT = 5(4) + 2 = 22.
 
        
             
        
        
        
If you didn't change the slope of the line, but you moved it 
down 6 units on the graph, then its y-intercept would become 
6 less.  The equation of the new line would be ...
                  y = 1/3 x - 16 .