A line has an equation of y=−x+6 . What are the slope and y -intercept?(1 point) Responses The slope is 6, and the y-intercept is −1. The slope is 6, and the y -intercept is negative 1 . The slope is −1, and the y-intercept is 6. The slope is negative 1 , and the y -intercept is 6. There is no slope, and the y-intercept is 6. There is no slope, and the y -intercept is 6. The slope is 1, and the y-intercept is 6. The slope is 1, and the y -intercept is 6.

Answer 1

To analyze the equation of the line given as \( y = -x + 6 \):

1. Slope (m): The slope is the coefficient of \( x \) in the equation. In this case, the coefficient of \( x \) is \(-1\), so the slope is \(-1\).

2. Y-intercept (b): The y-intercept is the constant term in the equation, which is the value of \( y \) when \( x = 0 \). Here, the y-intercept is \( 6 \).

Thus, the slope is \(-1\) and the y-intercept is \( 6\).

The correct response is: The slope is \(-1\), and the y-intercept is \(6\).