Question
Use the image to answer the question.
An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 6 to 6 in one unit increments. A downward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis 0 comma 3 right parenthesis, and left parenthesis 5 comma 1 right parenthesis.
Determine if the given graph is the graph of the function y=−25x+3
. Enter 1 for yes. Enter 2 for no.
(1 point)
Skip to navigation
An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 6 to 6 in one unit increments. A downward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis 0 comma 3 right parenthesis, and left parenthesis 5 comma 1 right parenthesis.
Determine if the given graph is the graph of the function y=−25x+3
. Enter 1 for yes. Enter 2 for no.
(1 point)
Skip to navigation
Answers
GPT-4o mini
To determine if the given graph represents the function \( y = -25x + 3 \), we need to check if the points provided (0, 3) and (5, 1) lie on this line.
1. **Substituting the first point (0, 3):**
\[
y = -25(0) + 3 = 3
\]
The point (0, 3) satisfies the equation.
2. **Substituting the second point (5, 1):**
\[
y = -25(5) + 3 = -125 + 3 = -122
\]
The point (5, 1) does not satisfy the equation since the result is -122, not 1.
Since not all points lie on the line defined by the function \( y = -25x + 3 \), the answer to whether the graph is of the function \( y = -25x + 3 \) is:
**2 for no.**
1. **Substituting the first point (0, 3):**
\[
y = -25(0) + 3 = 3
\]
The point (0, 3) satisfies the equation.
2. **Substituting the second point (5, 1):**
\[
y = -25(5) + 3 = -125 + 3 = -122
\]
The point (5, 1) does not satisfy the equation since the result is -122, not 1.
Since not all points lie on the line defined by the function \( y = -25x + 3 \), the answer to whether the graph is of the function \( y = -25x + 3 \) is:
**2 for no.**