Slope equation

Question

what is the slope of the line whose equation is y=1/6x-1/2?

Answer 1

y = (1/6) x - 1/2 is in the form

y =  m x + b, which is called the Slope-Intercept Form because

m = slope and b = y-intercept.

 

In this case, m = 1/6 and b = - 1/2.

 

P.S.: An intercept is where a graph intersects, crosses, the x-axis or y-axis. So there are x-intercepts and y-intercepts. All x-intercept points have a zero y-value and all y-intercept points have a zero x-value.

 

For y = m x + b:

(0,b): b = m*0 + b

(a,0): 0 = m*a + b

         -b = m*a

         -b/m = a