Use the image to answer the question.

Question

An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 7 to 7 in one unit increments. An upward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis negative 6 comma negative 1 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 6 comma 1 right parenthesis.

Determine if the given graph is the graph of the function y=16x
. Enter 1 for yes. Enter 2 for no.

(1 point)
Remaining Attempts : 3

Answer 1

To determine if the line graphed on the coordinate plane is the graph of the function \( y = 16x \), we can analyze the points through which the line passes.

1. The function \( y = 16x \) means that for any value of \( x \), \( y \) is calculated as \( 16 \) times \( x \).
2. Let's check the points given:
   • For the point \( (-6, -1) \): \[ y = 16 \times (-6) = -96 \quad (\text{not } -1) \]
   • For the point \( (0, 0) \): \[ y = 16 \times 0 = 0 \quad (\text{correct}) \]
   • For the point \( (6, 1) \): \[ y = 16 \times 6 = 96 \quad (\text{not } 1) \]

Since the point \( (-6, -1) \) does not satisfy the equation, the point \( (6, 1) \) also does not satisfy \( y = 16x \), while the point \( (0, 0) \) does.

Thus, not all points on the line agree with the function \( y = 16x \).

The answer is 2 for no.