What is the slope and y-intercept of the graph of the equation y = -x + 1?
To find the slope and y-intercept of the graph of the equation y = -x + 1, you can use the equation in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
In this given equation, y = -x + 1, we can identify that the coefficient of x is -1.
The coefficient of x represents the slope of the line. Since the coefficient is -1, the slope of the line is -1. This means that as x increases by 1, y decreases by 1.
The constant term, 1, represents the y-intercept. The y-intercept is the point on the y-axis where the line intersects. In this case, the line intersects the y-axis at y = 1. Hence, the y-intercept is 1.
In summary:
Slope (m) = -1
Y-intercept (b) = 1
To find the slope and y-intercept of the equation y = -x + 1, we can compare it to the standard form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept.
In the given equation, y = -x + 1, we can see that the coefficient of x is -1, which represents the slope. Therefore, the slope of the graph is -1.
The y-intercept is the constant term in the equation, which is 1. So, the y-intercept of the graph is 1.
Therefore, the slope of the graph is -1 and the y-intercept is 1.