Equation in slope-intercept form: The slope-intercept form of a linear equation is y=mx+b, where m is the slope and b is the y-intercept. The given equation y=−x+7 is already in slope-intercept form.
Comparing the given equation: By comparing the given equation y=−x+7 with the slope-intercept form, we can see that the coefficient of x is −1. This coefficient represents the slope of the line.
Finding the slope: Therefore, the slope of the line described by the equation y=−x+7 is −1.
More problems from Find derivatives of trigonometric functions using the product and quotient rules