Question 4 (1 point) Which of the following is true about the graph of the equation: \( y=-5 x+1 \) a The graph would increase from left to right b The graph would pass through the origin d The graph would have a positive \( y \)-intercept draph would have a slope of 10

To analyze the equation \( y = -5x + 1 \), we can identify several key features: 1. **Slope**: The coefficient of \( x \) is \(-5\), which means the slope of the line is \(-5\). This indicates that the graph decreases from left to right. 2. **Y-intercept**: The constant term is \(1\), which means the graph intersects the \( y \)-axis at the point \((0, 1)\). Therefore, the \( y \)-intercept is positive. 3. **Passing through the origin**: The graph does not pass through the origin \((0, 0)\) since the \( y \)-intercept is \(1\). 4. **Slope of 10**: The slope is \(-5\), not \(10\). Now, let's evaluate the options: a. The graph would increase from left to right. **(False)** - The graph decreases from left to right. b. The graph would pass through the origin. **(False)** - The graph does not pass through the origin. c. The graph would have a positive \( y \)-intercept. **(True)** - The \( y \)-intercept is \(1\), which is positive. d. The graph would have a slope of 10. **(False)** - The slope is \(-5\). The only true statement is: **c. The graph would have a positive \( y \)-intercept.**