Question 1

State the slope and y-intercept for the equation below:
                             
                  3y -5x = 9

You can use the picture shown on the right as reference.

Select and check your answer...

A. m = 5/3   and  b = 3
B. m = 5/3   and  b = -3
C. m = -5/3 and  b = 3
D. m = -5/3   and  b = -3

Looking at the equation of a line below:

                  3y -5x = 9

We know that the equation is not in the Slope-Intercept Form. Hence, we have to change this equation into the form of y=mx+b. 

To change the equation into the form of y=mx+b, we need to make y as the subject of the equation (i.e. y = something). Therefore:

Now, from the equation:
 

When we compare it with y = mx+b, we have:

   slope         =  m = 5/3 
   y-intercept =  b = +3 = 3