A line has an equation of y=-×+6. What are the slope and y-intercept?

Question

A. The slope is 6, and the y-intercept is -1.
B. There is no slope, and the y-intercept is 6.
C. The slope is -1, and the y-intercept is 6.
D. The slope is 1, and the y-intercept is 6.

Answer 1

The given equation of the line is \( y = -x + 6 \).

In the slope-intercept form of a line, \( y = mx + b \), \( m \) represents the slope, and \( b \) represents the y-intercept.

From the equation \( y = -x + 6 \):

• The slope \( m \) is \(-1\).
• The y-intercept \( b \) is \(6\).

Therefore, the correct answer is:

C. The slope is -1, and the y-intercept is 6.