Answer:
The correct option is C) Ben forgot to write a negative sign in front of the slope.
Step-by-step explanation:
Consider the provided graph.
From the graph we can be concluded that the line is passing through the point (0,1) and (1,-1).
Find the slope of the function by using the above point:
Slope formula: [tex]m = \frac{(y_2-y_1)}{(x_2-x_1)}[/tex]
[tex]m = \frac{(-1-1)}{(1-0)}[/tex]
[tex]m = \frac{-2}{1}[/tex]
The slope of the line is -2
The slope intercept form is: [tex]y=mx+b[/tex]
Where m is the slope and b is the y intercept.
y intercept is a point where the line intersect the y axis.
From the graph the y intercept is 1.
Now substitute the value of slope and y intercept in slope intercept form.
[tex]y=-2x+1[/tex]
Now consider the equation of Ben y = 2x + 1.
Ben's equation is correct but he forgot to write a negative sign in front of slope.
Hence, the correct option is C) Ben forgot to write a negative sign in front of the slope.
