Write in Slope Intercept form: x-3y=-15

 Slope = 0.667/2.000 = 0.333

 x-intercept = -15/1 = -15.00000

Step-by-step explanation: y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-3y+15  = 0 and calculate its properties

Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000

 y-intercept = 15/3  =  5

When y = 0 the value of x is -15/1 Our line therefore "cuts" the x axis at x=-15.00000

 x-intercept = -15/1  = -15.00000

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 5.667. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 5.667 - 5.000 = 0.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.667/2.000 =  0.333

 Slope = 0.667/2.000 = 0.333

 x-intercept = -15/1 = -15.00000