Explanation:
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
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 8x+5y-220 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 44/1 so this line "cuts" the y axis at y=44.00000
y-intercept = 220/5 = 44
Calculate the X-Intercept :
When y = 0 the value of x is 55/2 Our line therefore "cuts" the x axis at x=27.50000
x-intercept = 220/8 = 55/2 = 27.50000
Calculate the Slope :
The 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 44.000 and for x=2.000, the value of y is 40.800. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 40.800 - 44.000 = -3.200 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -3.200/2.000 = -1.600
Geometric figure: Straight Line
Slope = -3.200/2.000 = -1.600
x-intercept = 220/8 = 55/2 = 27.50000
y-intercept = 220/5 = 44