Answer: 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
