Question

Use the graph.


Ben says that the equation y = 2x + 1 represents the line on the graph.
What error did Ben make?
A. Ben switched x and y.
B. Ben found the y-intercept incorrectly.
C. Ben forgot to write a negative sign in front of the slope.
D. Ben switched the rise and the run when writing the slope.

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

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:  $m = \frac{(y_2-y_1)}{(x_2-x_1)}$

 $m = \frac{(-1-1)}{(1-0)}$

 $m = \frac{-2}{1}$

The slope of the line is -2

The slope intercept form is: $y=mx+b$

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.

$y=-2x+1$

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.