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

c

Explanation:

Answer 2

The correct option is C) Ben forgot to write a negative sign in front of the slope.

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 = ((y_2-y_1))/((x_2-x_1))`

`m = ((-1-1))/((1-0))`

`m = (-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.