Answer
The equation that represents this is
y = 6.5x - 4
The graph of this equation is
Explanation
The fabric costs 6.50 dollars per yard.
If one buys x yards, the cost is (6.5x) dollars
Noting that there is a discount of 4 dollars
y = (Cost of x fabric) - (Discount)
y = 6.5x - 4
To plot the graph for this, we will use intercepts,
when x = 0,
y = 6.5x - 4
y = 0 - 4
y = -4
First point on the graph is (0, -4)
When y = 0
y = 6.5x - 4
0 = 6.5x - 4
6.5x = 4
Divide both sides by 6.5
(6.5x/6.5) = (4/6.5)
x = 0.615
Second point on the graph is (0.615, 0)
The graph is then plotted by connecting these two points. And this is shown under 'Answer'
Hope this Helps!!!
