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=5x−1 is already in slope-intercept form.
Comparing with Slope-Intercept Form: By comparing the given equation y=5x−1 with the slope-intercept form, we can see that the coefficient of x, which is 5, represents the slope of the line.
Finding the Slope: Therefore, the slope of the line described by the equation y=5x−1 is 5.
More problems from Find derivatives of trigonometric functions using the product and quotient rules