Video Transcript
A straight line has the equation 𝑦 equals four 𝑥 minus five. What is the slope of the line?
We notice first of all that the equation of this line has been given in the slope–intercept form. That’s 𝑦 equals 𝑚𝑥 plus 𝑏, where 𝑚, the coefficient of 𝑥, represents the slope of the line and 𝑏, the constant term, represents its 𝑦-intercept. We can therefore determine the slope of this line and, if we wish, its 𝑦-intercept by considering its equation. The coefficient of 𝑥 in this equation is four. And so this is the slope of the straight line. If we wanted, we could also determine its 𝑦-intercept. The constant term in this equation is negative five. So that’s the value of the 𝑦-intercept. Our answer to the problem “what is the slope of the line?” is four.
