Question

May some one explain to me how to solve a system of equations graphically, graph them, and check? Using "m" and "b"? Here is an example:
x+y=6
y=2x-6

Answer 1

the best way to graph is to put the equation in the [x/a]+[y/b]=1 form rather than y=mx+c form..

Answer 2

m will decide the slope of your line..
b will decide where ur line cuts the y-axis
Draw the two lines
Wherever they intersect is the pt of solution

Answer 3

y=-x+6=>m=-1,b=6
y=2x-6=> m=2 and b=6

the point of intersection is (4,2)

Answer 4

x+y=6
x/6+y/6=1
u get two pts (0,6),(6,0)...join the line...

Answer 5

oops,b=-6 for the second equation ...

Answer 6

For eg
y = -x + 6 Draw line with slope -1 and cutting y-axis at (0,6)
y=2x - 6 Draw line with slope two cutting y-axis at (0, -6)
Mark the pt where these two intersect..That is ur soln in form (x,y)

Answer 7

from second equation
2x-y=6
x/3+[y/-6]=1
pts...(3,0)and (0,-6) join them nd get the line...

Answer 8

find the intersection of these two graphs...thats the solution

Answer 9

for drawing lines graphically, the y=mx+c form is usefull only if u substitute x and find correspoding y.
having the slope m and b will not help u plot the graph.

Answer 10

to plot a graph u need points...and slope intercept form is not so useful here...
use the form\[\frac xa+\frac yb=1\]here points of intersection
(a,0) and (0,b)...that helps u to plot.

Answer 11

Alright, thank you everyone for your explanations. I will have to slowly look over everything and try to apply it to the problems I am studying. Thanks very much!