m = (y2-y1)/(x2-x1)
m = (6-4)/(4-0)
m = 2/4
y = mx + c
6 = (2/4)(4) + c
c = 4
Thus, the equation is y = (2/4)x +4
 
        
             
        
        
        
Answer:
5/2
Step-by-step explanation:
BRAINLIEST
 
        
             
        
        
        
You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing:  Taking two points and finding the slope of the line that goes through them.
In every case, the procedure is the same.
If the two points are  (x₁ , y₁)  and  (x₂ , y₂) , then
the slope of the line that goes through them is
                          Slope  =  (y₂ - y₁) / (x₂ - x₁) .
This is important, and you should memorize it.
#1).  (8, 10)  and  (-7, 14)
         Slope  =  (14 - 10) / (-7 - 8)  =  4 / -15
#2).  (-3, 1)  and  (-17, 2)
         Slope  =  (2 - 1) / (-17 -  -3)  =  (2 - 1) / (-17 + 3)  =  1 / -14
#3).  (-20, -4)  and  (-12, -10)
         Slope  =  [ -10 - (-4) ] / [ -12 - (-20) ]
=========================================
The word problem:
This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?
A "proportional relationship" always passes through the origin,
so another point on the line is  (0, 0) .
Now you have two points on THAT line too, and you can easily
find its slope.
        
             
        
        
        
Answer:
Angle 1 is = 54° ( vertically opposite angles)
Angle 2 is = Angle 1 (corresponding angles are equal)
therefore Angle 2 = 54°
 
        
             
        
        
        
Answer:
1. 56.52 inches
2. 141,300 inches
Step-by-step explanation:
One turn of the tire is the circumference. Therefore, we have to find the circumference first. C = πd = 18π = 18 × 3.14 = 56.52 in 
2500 rotations would be 2500 ⋅ 56.52 in = 141,300 in
I hope this helps and please mark me as brainliest!