Question

Identify the slope and the y-intercept of the equation y = -x + 7.

A. Slope = -1, y-intercept = (0, 7)
B. Slope = 7, y-intercept = (0, -1)
C. Slope = 1, y-intercept = (0, 7)
D. Slope = -7, y-intercept = (0, 1)

Answer 1

The slope of the equation y = -x + 7 is -1 and the y-intercept is the point (0, 7), corresponding to answer choice A.

Step-by-step explanation:

The equation given in the question is y = -x + 7. According to the slope-intercept form of a linear equation, which is y = mx + b, the slope (m) is the coefficient of x, and the y-intercept (b) is the constant term. Here, the coefficient of x is -1, representing the slope. The constant term is 7, representing the y-intercept. Thus, the slope is -1 and the y-intercept occurs at the point (0, 7).

The correct answer is A. Slope = -1, y-intercept = (0, 7).