What are three points of the equation x- 4y= -18

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

                     x-4*y-(-18)=0 

 1.1     Solve   x-4y+18  = 0 

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  x-4y+18  = 0 and calculate its properties

Notice that when x = 0 the value of y is 9/2 so this line "cuts" the y axis at y= 4.50000

When y = 0 the value of x is -18/1 Our line therefore "cuts" the x axis at x=-18.00000

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 4.500 and for x=2.000, the value of y is 5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 5.000 - 4.500 = 0.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

step-by-step explanation: