Answer:
Width of field  = 50 yards
Length of Yards =  106 yards
Step-by-step explanation:
Let the width of field be x yards
given that "The length of a new rectangular playing field is 6 yards longer than double the width"
Length of Yards= 2*width of field + 6 = 2x+6 yards
perimeter of the rectangular playing field  = 312 yards
We know that perimeter of rectangle is given by 2(length + width ).
Since field is rectangular then 
 2(length + width ) = 312
2(x+2x+6) = 312
=> 3x+6 = 312/2 = 156
=> 3x = 156 - 6 = 150
=> x = 150/3 = 50
Thus,
Width of field is x = 50 yards
Length of Yards=  2x+6 yards = 2*50+6  yards = 106 yards
 
        
             
        
        
        
You would write m= y2 -y1/x2-x1 so the answer would be 8/12
        
                    
             
        
        
        
First, let's write the given equation in slope-intercept form: y = mx + b
In slope-intercept form, the slope of the line is m, and the y-intercept is b. The slope is a measure of how steep the graph is at any point and is found by doing rise over run. This means the change in y values divided by the change in x values. Next, y-intercept is just where the graph crosses the y axis.
All we need to do to get the equation in slope-intercept form is to divide each term by 3. This will isolate the y.

As you can see, the slope of the line is 2/3, and the y-intercept is -2.
To graph the line, plot a point at (0,-2). This is the point where the graph crosses the y axis. Then from that point, count up two and right 3. Plot a point here as well. Lastly, connect the two points with a straight line.
See attached picture for the graph.
 
        
        
        
The equation of a line which has the slope m and passes through the point A(x1,y1) has the formula:
y-y1=m(x-x1)
in your case m= -5 ; A(x1;y1)=(1;-1)
y-(-1)= -5(x-1)
y+1= -5(x-1)
answer is c