How do you graph 56x−6y=8 by plotting points?
Answers
A Cartesian coordinate system is actually the cartesion product of Real numbers to real numbers. As a result of which infinite points(orders pairs) are formed. Now to plot graph actually means to highlight some poins to form a gemotrical structure.
As we are given a straight line(linear equation), evaluation of points is much easy. Let's determine 4 points(which are enough to form the line). Straight line actually refers to a set of points that are directly proportional ( by increasing one results in the increment of other and vice versa). Furthermore, the slope of the line at any point remains constant. Which means that the ratio of the x and y components of any two points respectively always remains the same. Now to compute some points, reduce the equation into one variable in the dependence of the other.
In this case:
56x-6y=8 can be rewritten as:
y= (56x-8)/6
As the slope remains the same, x by anuly number will produce y of that order. That is, for x= 0, y becomes:
y=-4/3
By putting x= 1,
y =24/3
And so on.
Now plotting these points on graph will give a straight line. That's it, you are done!